Tables of Half-Cyclic Codes

The tables below display all half-cyclic code of lengths from 2 up to 14. They extend those given in the paper "Half-Cyclic, Dihedral and Half-Dihedral Codes" by Jajcay, Potočnik and Wilson. One of each associate pair of generating pairs is given. The triple of parameters [n,k,m] denotes, as usual, the length, the dimension and the minimal distance of the code, while [a,b] is the pair of the degrees of the generators. The next columns present canonical generators u and v without their trailing zeroes. The `type' column shows
Cyc cyclic
Dih dihedral
HC half-cyclic
HDiEvn even half-dihedral
HDiOdd odd half-dihedral
--DG degenerate

Codes of length 2:

[n,k,m][a,b]uvtype
[ 2, 1, 2 ][ 1, 1 ]1111Dih-DG
[ 2, 2, 1 ][ 0, 0 ]11Dih

Codes of length 4:

[n,k,m][a,b]uvtype
[ 4, 1, 4 ][ 3, 3 ]11111111Dih-DG
[ 4, 2, 2 ][ 3, 1 ]100111HDiEvn-DG
[ 4, 2, 2 ][ 2, 2 ]101101Dih
[ 4, 2, 2 ][ 2, 2 ]111101HDiOdd
[ 4, 3, 1 ][ 2, 0 ]1011HDiOdd
[ 4, 3, 2 ][ 1, 1 ]1111Dih
[ 4, 4, 1 ][ 0, 0 ]11Dih

Codes of length 6:

[n,k,m][a,b]uvtype
[ 6, 1, 6 ][ 5, 5 ]111111111111Dih-DG
[ 6, 2, 4 ][ 5, 3 ]1001111111HDiEvn-DG
[ 6, 2, 3 ][ 4, 4 ]1010110101Dih
[ 6, 2, 4 ][ 4, 4 ]1101111011Dih
[ 6, 3, 2 ][ 5, 1 ]10000111HDiEvn-DG
[ 6, 3, 2 ][ 4, 2 ]10101101HDiOdd
[ 6, 3, 2 ][ 4, 2 ]10111101HDiOdd
[ 6, 3, 3 ][ 4, 2 ]10101111HDiOdd
[ 6, 3, 2 ][ 3, 3 ]10011001Dih
[ 6, 3, 3 ][ 3, 3 ]11111101HC
[ 6, 4, 1 ][ 4, 0 ]101011HDiOdd
[ 6, 4, 2 ][ 3, 1 ]101111HDiEvn
[ 6, 4, 2 ][ 2, 2 ]101101Dih
[ 6, 4, 2 ][ 2, 2 ]111111Dih
[ 6, 5, 1 ][ 2, 0 ]1011HDiOdd
[ 6, 5, 2 ][ 1, 1 ]1111Dih
[ 6, 6, 1 ][ 0, 0 ]11Dih

Codes of length 8:

[n,k,m][a,b]uvtype
[ 8, 1, 8 ][ 7, 7 ]1111111111111111Dih-DG
[ 8, 2, 4 ][ 7, 5 ]10011001110011HDiEvn-DG
[ 8, 2, 4 ][ 6, 6 ]10101011010101Dih
[ 8, 2, 4 ][ 6, 6 ]11101111010101HDiOdd
[ 8, 3, 4 ][ 7, 3 ]100110011111HDiEvn-DG
[ 8, 3, 2 ][ 6, 4 ]101010110001HDiOdd
[ 8, 3, 2 ][ 6, 4 ]101111110001HDiOdd
[ 8, 3, 4 ][ 6, 4 ]101010111011HDiOdd
[ 8, 3, 4 ][ 5, 5 ]100111111001HDiOdd
[ 8, 3, 4 ][ 5, 5 ]110011101101HDiEvn
[ 8, 3, 4 ][ 5, 5 ]110011110011Dih
[ 8, 4, 2 ][ 7, 1 ]1000000111HDiEvn-DG
[ 8, 4, 2 ][ 6, 2 ]1010101101HDiOdd
[ 8, 4, 2 ][ 6, 2 ]1011101101HDiOdd
[ 8, 4, 3 ][ 6, 2 ]1010101111HDiOdd
[ 8, 4, 2 ][ 5, 3 ]1000011001HDiEvn
[ 8, 4, 3 ][ 5, 3 ]1001111101HC
[ 8, 4, 4 ][ 5, 3 ]1010111111HDiEvn
[ 8, 4, 4 ][ 5, 3 ]1011011111HDiEvn
[ 8, 4, 2 ][ 4, 4 ]1000110001Dih
[ 8, 4, 2 ][ 4, 4 ]1001110001HC
[ 8, 4, 2 ][ 4, 4 ]1100110001HC
[ 8, 4, 2 ][ 4, 4 ]1101110001HDiOdd
[ 8, 4, 3 ][ 4, 4 ]1111111011HDiOdd
[ 8, 4, 4 ][ 4, 4 ]1011111101HDiEvn
[ 8, 5, 1 ][ 6, 0 ]10101011HDiOdd
[ 8, 5, 2 ][ 5, 1 ]10110111HDiEvn
[ 8, 5, 2 ][ 4, 2 ]10001101HDiOdd
[ 8, 5, 2 ][ 4, 2 ]10001111HDiOdd
[ 8, 5, 2 ][ 4, 2 ]10011101HDiOdd
[ 8, 5, 2 ][ 3, 3 ]10111101HDiOdd
[ 8, 5, 2 ][ 3, 3 ]11111001HDiEvn
[ 8, 5, 2 ][ 3, 3 ]11111111Dih
[ 8, 6, 1 ][ 4, 0 ]100011HDiOdd
[ 8, 6, 2 ][ 3, 1 ]100111HDiEvn
[ 8, 6, 2 ][ 2, 2 ]101101Dih
[ 8, 6, 2 ][ 2, 2 ]111101HDiOdd
[ 8, 7, 1 ][ 2, 0 ]1011HDiOdd
[ 8, 7, 2 ][ 1, 1 ]1111Dih
[ 8, 8, 1 ][ 0, 0 ]11Dih

Codes of length 10:

[n,k,m][a,b]uvtype
[ 10, 1, 10 ][ 9, 9 ]11111111111111111111Dih-DG
[ 10, 2, 5 ][ 8, 8 ]101010101101010101Dih
[ 10, 4, 4 ][ 9, 3 ]10000110011111HDiEvn-DG
[ 10, 4, 4 ][ 8, 4 ]10110110111011HDiOdd
[ 10, 4, 4 ][ 7, 5 ]10000111111001HC
[ 10, 4, 4 ][ 7, 5 ]10010011101101HDiEvn
[ 10, 4, 4 ][ 6, 6 ]10010111111101HC
[ 10, 4, 4 ][ 6, 6 ]10111111101001HC
[ 10, 4, 4 ][ 6, 6 ]11000111100011Dih
[ 10, 5, 2 ][ 9, 1 ]100000000111HDiEvn-DG
[ 10, 5, 2 ][ 8, 2 ]101010101101HDiOdd
[ 10, 5, 2 ][ 8, 2 ]101011101101HDiOdd
[ 10, 5, 3 ][ 8, 2 ]101010101111HDiOdd
[ 10, 5, 2 ][ 7, 3 ]100000011001HDiEvn
[ 10, 5, 3 ][ 7, 3 ]100111011101HC
[ 10, 5, 4 ][ 7, 3 ]101011011111HC
[ 10, 5, 4 ][ 7, 3 ]101101011111HC
[ 10, 5, 3 ][ 6, 4 ]100100111011HDiOdd
[ 10, 5, 3 ][ 6, 4 ]100101111001HC
[ 10, 5, 4 ][ 6, 4 ]100011111011HDiOdd
[ 10, 5, 4 ][ 6, 4 ]101110111111HDiOdd
[ 10, 5, 4 ][ 6, 4 ]101111111101HC
[ 10, 5, 2 ][ 5, 5 ]100001100001Dih
[ 10, 5, 3 ][ 5, 5 ]111001110001HC
[ 10, 5, 3 ][ 5, 5 ]111011101001HC
[ 10, 5, 4 ][ 5, 5 ]100111110101HC
[ 10, 5, 4 ][ 5, 5 ]101011111001HC
[ 10, 5, 4 ][ 5, 5 ]101111101101HC
[ 10, 5, 4 ][ 5, 5 ]111101101101HC
[ 10, 6, 1 ][ 8, 0 ]1010101011HDiOdd
[ 10, 6, 2 ][ 7, 1 ]1010110111HDiEvn
[ 10, 6, 3 ][ 6, 2 ]1001001111HDiOdd
[ 10, 6, 2 ][ 5, 3 ]1011111001HDiEvn
[ 10, 6, 3 ][ 5, 3 ]1010111101HC
[ 10, 6, 2 ][ 4, 4 ]1111111111Dih
[ 10, 6, 3 ][ 4, 4 ]1001111101HC
[ 10, 6, 3 ][ 4, 4 ]1011111001HC
[ 10, 8, 2 ][ 2, 2 ]101101Dih
[ 10, 9, 1 ][ 2, 0 ]1011HDiOdd
[ 10, 9, 2 ][ 1, 1 ]1111Dih
[ 10, 10, 1 ][ 0, 0 ]11Dih

Codes of length 12:

[n,k,m][a,b]uvtype
[ 12, 1, 12 ][ 11, 11 ]111111111111111111111111Dih-DG
[ 12, 2, 6 ][ 11, 9 ]1001100110011100110011HDiEvn-DG
[ 12, 2, 8 ][ 11, 9 ]1001111001111111001111HDiEvn-DG
[ 12, 2, 6 ][ 10, 10 ]1010101010110101010101Dih
[ 12, 2, 6 ][ 10, 10 ]1110111011110101010101HDiOdd
[ 12, 2, 8 ][ 10, 10 ]1101101101111011011011Dih
[ 12, 3, 4 ][ 11, 7 ]10000110000111000011HDiEvn-DG
[ 12, 3, 3 ][ 10, 8 ]10101010101100010001HDiOdd
[ 12, 3, 4 ][ 10, 8 ]10101010101101000101HDiOdd
[ 12, 3, 4 ][ 10, 8 ]10111010111101000101HDiOdd
[ 12, 3, 6 ][ 10, 8 ]10101010101111000111HDiOdd
[ 12, 3, 4 ][ 9, 9 ]10010010011001001001Dih
[ 12, 3, 6 ][ 9, 9 ]11001100111100110011Dih
[ 12, 3, 6 ][ 9, 9 ]11110011111101001101HC
[ 12, 4, 4 ][ 11, 5 ]100000011001110011HDiEvn-DG
[ 12, 4, 4 ][ 11, 5 ]100001100001111111HDiEvn-DG
[ 12, 4, 2 ][ 10, 6 ]101010101011000001HDiOdd
[ 12, 4, 2 ][ 10, 6 ]101111111011000001HDiOdd
[ 12, 4, 5 ][ 10, 6 ]101010101011101011HDiOdd
[ 12, 4, 6 ][ 10, 6 ]101100011011110111HDiOdd
[ 12, 4, 4 ][ 9, 7 ]100001001110011001HDiEvn
[ 12, 4, 4 ][ 9, 7 ]100100100110111101HDiEvn
[ 12, 4, 4 ][ 9, 7 ]101011010111000011HDiEvn
[ 12, 4, 4 ][ 9, 7 ]101100101111000011HDiEvn
[ 12, 4, 5 ][ 9, 7 ]100001110111101001HC
[ 12, 4, 6 ][ 9, 7 ]100111010111011101HC
[ 12, 4, 3 ][ 8, 8 ]100010001100010001Dih
[ 12, 4, 3 ][ 8, 8 ]101000101100010001HDiOdd
[ 12, 4, 3 ][ 8, 8 ]101101111100010001HC
[ 12, 4, 3 ][ 8, 8 ]111000111100010001HDiOdd
[ 12, 4, 3 ][ 8, 8 ]111101101100010001HC
[ 12, 4, 4 ][ 8, 8 ]100100011110001001HDiEvn
[ 12, 4, 4 ][ 8, 8 ]100111011101000101HC
[ 12, 4, 4 ][ 8, 8 ]101000101101000101Dih
[ 12, 4, 4 ][ 8, 8 ]101000101110111001HC
[ 12, 4, 4 ][ 8, 8 ]101100111101000101HC
[ 12, 4, 4 ][ 8, 8 ]110010011101000101HDiOdd
[ 12, 4, 4 ][ 8, 8 ]111000111111000111Dih
[ 12, 4, 4 ][ 8, 8 ]111001101101000101HC
[ 12, 4, 4 ][ 8, 8 ]111101111101000101HDiOdd
[ 12, 5, 4 ][ 11, 3 ]1000011000011111HDiEvn-DG
[ 12, 5, 2 ][ 10, 4 ]1010101010110001HDiOdd
[ 12, 5, 2 ][ 10, 4 ]1010101010110101HDiOdd
[ 12, 5, 2 ][ 10, 4 ]1010111110110001HDiOdd
[ 12, 5, 4 ][ 10, 4 ]1010101010111011HDiOdd
[ 12, 5, 4 ][ 9, 5 ]1001001001101101HDiEvn
[ 12, 5, 4 ][ 9, 5 ]1001110101111001HC
[ 12, 5, 4 ][ 9, 5 ]1010101101110011HC
[ 12, 5, 4 ][ 9, 5 ]1010110101111111HDiEvn
[ 12, 5, 4 ][ 9, 5 ]1011010101110011HC
[ 12, 5, 2 ][ 8, 6 ]1000100011000001HDiOdd
[ 12, 5, 2 ][ 8, 6 ]1001110111000001HDiOdd
[ 12, 5, 2 ][ 8, 6 ]1010001011000001HDiOdd
[ 12, 5, 2 ][ 8, 6 ]1010011111000001HC
[ 12, 5, 2 ][ 8, 6 ]1011001111000001HC
[ 12, 5, 2 ][ 8, 6 ]1011011011000001HDiOdd
[ 12, 5, 3 ][ 8, 6 ]1000100011101011HDiOdd
[ 12, 5, 4 ][ 8, 6 ]1000111111110111HDiOdd
[ 12, 5, 4 ][ 8, 6 ]1001000111111101HC
[ 12, 5, 4 ][ 8, 6 ]1001010011110111HDiOdd
[ 12, 5, 4 ][ 8, 6 ]1010001011100011HDiOdd
[ 12, 5, 4 ][ 8, 6 ]1010001011101001HC
[ 12, 5, 3 ][ 7, 7 ]1001011111000011HC
[ 12, 5, 3 ][ 7, 7 ]1100001111101001HC
[ 12, 5, 4 ][ 7, 7 ]1000011111100001HDiOdd
[ 12, 5, 4 ][ 7, 7 ]1010111110011001HC
[ 12, 5, 4 ][ 7, 7 ]1011101111000011HC
[ 12, 5, 4 ][ 7, 7 ]1011110110111101Dih
[ 12, 5, 4 ][ 7, 7 ]1100001110100101HDiEvn
[ 12, 5, 4 ][ 7, 7 ]1100001111000011Dih
[ 12, 5, 4 ][ 7, 7 ]1100001111011101HC
[ 12, 5, 4 ][ 7, 7 ]1101011111001001HC
[ 12, 5, 4 ][ 7, 7 ]1101110110110001HC
[ 12, 5, 4 ][ 7, 7 ]1111010110011001HC
[ 12, 6, 2 ][ 11, 1 ]10000000000111HDiEvn-DG
[ 12, 6, 2 ][ 10, 2 ]10101010101101HDiOdd
[ 12, 6, 2 ][ 10, 2 ]10101110101101HDiOdd
[ 12, 6, 3 ][ 10, 2 ]10101010101111HDiOdd
[ 12, 6, 2 ][ 9, 3 ]10000000011001HDiEvn
[ 12, 6, 3 ][ 9, 3 ]10000111011101HC
[ 12, 6, 4 ][ 9, 3 ]10101011011111HDiEvn
[ 12, 6, 4 ][ 9, 3 ]10101101011111HDiEvn
[ 12, 6, 2 ][ 8, 4 ]10001000110001HDiOdd
[ 12, 6, 2 ][ 8, 4 ]10001000110101HDiOdd
[ 12, 6, 2 ][ 8, 4 ]10001100110001HC
[ 12, 6, 2 ][ 8, 4 ]10011000110001HC
[ 12, 6, 2 ][ 8, 4 ]10011100110001HDiOdd
[ 12, 6, 2 ][ 8, 4 ]10100010110001HDiOdd
[ 12, 6, 2 ][ 8, 4 ]10100010110101HDiOdd
[ 12, 6, 2 ][ 8, 4 ]10100110110101HC
[ 12, 6, 2 ][ 8, 4 ]10110010110101HC
[ 12, 6, 2 ][ 8, 4 ]10110110110101HDiOdd
[ 12, 6, 3 ][ 8, 4 ]10001000111001HC
[ 12, 6, 3 ][ 8, 4 ]10001000111011HDiOdd
[ 12, 6, 4 ][ 8, 4 ]10010100111011HDiOdd
[ 12, 6, 4 ][ 8, 4 ]10100010111101HC
[ 12, 6, 4 ][ 8, 4 ]10100010111111HDiOdd
[ 12, 6, 2 ][ 7, 5 ]10000001100001HDiEvn
[ 12, 6, 3 ][ 7, 5 ]10001001110011HC
[ 12, 6, 3 ][ 7, 5 ]10010001110011HC
[ 12, 6, 3 ][ 7, 5 ]10010111111111HDiEvn
[ 12, 6, 3 ][ 7, 5 ]10011001110001HC
[ 12, 6, 3 ][ 7, 5 ]10101011111001HC
[ 12, 6, 3 ][ 7, 5 ]10111011101001HC
[ 12, 6, 3 ][ 7, 5 ]10111111111011HC
[ 12, 6, 4 ][ 7, 5 ]10000111110101HC
[ 12, 6, 4 ][ 7, 5 ]10001111110011HC
[ 12, 6, 4 ][ 7, 5 ]10010111110011HC
[ 12, 6, 4 ][ 7, 5 ]10100011111111HC
[ 12, 6, 4 ][ 7, 5 ]10100101111111HDiEvn
[ 12, 6, 4 ][ 7, 5 ]10101101111101HC
[ 12, 6, 4 ][ 7, 5 ]10101111101101HDiEvn
[ 12, 6, 4 ][ 7, 5 ]10110001111001HC
[ 12, 6, 4 ][ 7, 5 ]10111011110011HDiEvn
[ 12, 6, 4 ][ 7, 5 ]10111011111111HC
[ 12, 6, 4 ][ 7, 5 ]10111101101101HDiEvn
[ 12, 6, 4 ][ 7, 5 ]10111101111111HDiEvn
[ 12, 6, 2 ][ 6, 6 ]10000011000001Dih
[ 12, 6, 2 ][ 6, 6 ]10000111000001HC
[ 12, 6, 2 ][ 6, 6 ]10010011000001HDiOdd
[ 12, 6, 2 ][ 6, 6 ]10010111000001HC
[ 12, 6, 2 ][ 6, 6 ]11000011000001HC
[ 12, 6, 2 ][ 6, 6 ]11000111000001HDiOdd
[ 12, 6, 2 ][ 6, 6 ]11010011000001HC
[ 12, 6, 2 ][ 6, 6 ]11010111000001HDiOdd
[ 12, 6, 3 ][ 6, 6 ]10101111110011HC
[ 12, 6, 3 ][ 6, 6 ]11001111110101HC
[ 12, 6, 3 ][ 6, 6 ]11010111101011Dih
[ 12, 6, 3 ][ 6, 6 ]11101111011101HDiOdd
[ 12, 6, 3 ][ 6, 6 ]11101111101011HDiOdd
[ 12, 6, 3 ][ 6, 6 ]11111111100011HDiOdd
[ 12, 6, 4 ][ 6, 6 ]10011111101011HC
[ 12, 6, 4 ][ 6, 6 ]10110011110001HC
[ 12, 6, 4 ][ 6, 6 ]10111111111101HDiEvn
[ 12, 6, 4 ][ 6, 6 ]11010111111001HC
[ 12, 6, 4 ][ 6, 6 ]11101111100101HC
[ 12, 6, 4 ][ 6, 6 ]11101111110111Dih
[ 12, 6, 4 ][ 6, 6 ]11110111101001HC
[ 12, 6, 4 ][ 6, 6 ]11111011101101HC
[ 12, 7, 1 ][ 10, 0 ]101010101011HDiOdd
[ 12, 7, 2 ][ 9, 1 ]101011010111HDiEvn
[ 12, 7, 2 ][ 8, 2 ]100010001101HDiOdd
[ 12, 7, 2 ][ 8, 2 ]100011001101HDiOdd
[ 12, 7, 2 ][ 8, 2 ]101000101101HDiOdd
[ 12, 7, 3 ][ 8, 2 ]100010001111HDiOdd
[ 12, 7, 2 ][ 7, 3 ]101111011001HDiEvn
[ 12, 7, 3 ][ 7, 3 ]100010011111HC
[ 12, 7, 3 ][ 7, 3 ]100100011111HC
[ 12, 7, 3 ][ 7, 3 ]101100011101HC
[ 12, 7, 4 ][ 7, 3 ]101001011111HDiEvn
[ 12, 7, 2 ][ 6, 4 ]100000110001HDiOdd
[ 12, 7, 2 ][ 6, 4 ]100000110101HDiOdd
[ 12, 7, 2 ][ 6, 4 ]100000111011HDiOdd
[ 12, 7, 2 ][ 6, 4 ]100000111101HC
[ 12, 7, 2 ][ 6, 4 ]100000111111HDiOdd
[ 12, 7, 2 ][ 6, 4 ]100001110101HC
[ 12, 7, 2 ][ 6, 4 ]100100110101HDiOdd
[ 12, 7, 2 ][ 6, 4 ]100101110001HDiOdd
[ 12, 7, 2 ][ 6, 4 ]100101110101HC
[ 12, 7, 3 ][ 6, 4 ]101110111011HDiOdd
[ 12, 7, 3 ][ 6, 4 ]101111111001HC
[ 12, 7, 4 ][ 6, 4 ]101001111011HDiOdd
[ 12, 7, 2 ][ 5, 5 ]100111110011HC
[ 12, 7, 2 ][ 5, 5 ]101011110101HDiOdd
[ 12, 7, 2 ][ 5, 5 ]110011111001HC
[ 12, 7, 2 ][ 5, 5 ]111011111101HC
[ 12, 7, 2 ][ 5, 5 ]111111100001HDiEvn
[ 12, 7, 2 ][ 5, 5 ]111111111111Dih
[ 12, 7, 3 ][ 5, 5 ]100011101101HC
[ 12, 7, 3 ][ 5, 5 ]100101111001HC
[ 12, 7, 3 ][ 5, 5 ]100111101001HC
[ 12, 7, 3 ][ 5, 5 ]101101110001HC
[ 12, 7, 4 ][ 5, 5 ]101101101101Dih
[ 12, 7, 4 ][ 5, 5 ]111111111001HC
[ 12, 8, 1 ][ 8, 0 ]1000100011HDiOdd
[ 12, 8, 1 ][ 8, 0 ]1010001011HDiOdd
[ 12, 8, 2 ][ 7, 1 ]1000100111HDiEvn
[ 12, 8, 2 ][ 7, 1 ]1010010111HDiEvn
[ 12, 8, 2 ][ 6, 2 ]1000001101HDiOdd
[ 12, 8, 2 ][ 6, 2 ]1000001111HDiOdd
[ 12, 8, 2 ][ 6, 2 ]1001001101HDiOdd
[ 12, 8, 3 ][ 6, 2 ]1011101111HDiOdd
[ 12, 8, 2 ][ 5, 3 ]1000011111HDiEvn
[ 12, 8, 2 ][ 5, 3 ]1000111001HDiEvn
[ 12, 8, 2 ][ 5, 3 ]1001111111HDiEvn
[ 12, 8, 2 ][ 5, 3 ]1010011101HC
[ 12, 8, 2 ][ 5, 3 ]1011011001HDiEvn
[ 12, 8, 3 ][ 5, 3 ]1001011101HC
[ 12, 8, 2 ][ 4, 4 ]1000110001Dih
[ 12, 8, 2 ][ 4, 4 ]1001110101HC
[ 12, 8, 2 ][ 4, 4 ]1001111001HDiEvn
[ 12, 8, 2 ][ 4, 4 ]1010110001HDiOdd
[ 12, 8, 2 ][ 4, 4 ]1010110101Dih
[ 12, 8, 2 ][ 4, 4 ]1010111001HC
[ 12, 8, 2 ][ 4, 4 ]1011110001HC
[ 12, 8, 2 ][ 4, 4 ]1011110101HC
[ 12, 8, 2 ][ 4, 4 ]1101110101HDiOdd
[ 12, 8, 2 ][ 4, 4 ]1101111011Dih
[ 12, 8, 2 ][ 4, 4 ]1110110001HC
[ 12, 8, 2 ][ 4, 4 ]1110110101HC
[ 12, 8, 2 ][ 4, 4 ]1111110001HDiOdd
[ 12, 8, 2 ][ 4, 4 ]1111110101HDiOdd
[ 12, 9, 1 ][ 6, 0 ]10000011HDiOdd
[ 12, 9, 2 ][ 5, 1 ]10000111HDiEvn
[ 12, 9, 2 ][ 4, 2 ]10001101HDiOdd
[ 12, 9, 2 ][ 4, 2 ]10101101HDiOdd
[ 12, 9, 2 ][ 4, 2 ]10101111HDiOdd
[ 12, 9, 2 ][ 4, 2 ]10111101HDiOdd
[ 12, 9, 2 ][ 3, 3 ]10011001Dih
[ 12, 9, 2 ][ 3, 3 ]11111101HC
[ 12, 9, 2 ][ 3, 3 ]11111111Dih
[ 12, 10, 1 ][ 4, 0 ]100011HDiOdd
[ 12, 10, 1 ][ 4, 0 ]101011HDiOdd
[ 12, 10, 2 ][ 3, 1 ]100111HDiEvn
[ 12, 10, 2 ][ 3, 1 ]101111HDiEvn
[ 12, 10, 2 ][ 2, 2 ]101101Dih
[ 12, 10, 2 ][ 2, 2 ]111101HDiOdd
[ 12, 10, 2 ][ 2, 2 ]111111Dih
[ 12, 11, 1 ][ 2, 0 ]1011HDiOdd
[ 12, 11, 2 ][ 1, 1 ]1111Dih
[ 12, 12, 1 ][ 0, 0 ]11Dih

Codes of length 14:

[n,k,m][a,b]uvtype
[ 14, 1, 14 ][ 13, 13 ]1111111111111111111111111111Dih-DG
[ 14, 2, 7 ][ 12, 12 ]10101010101011010101010101Dih
[ 14, 3, 8 ][ 13, 9 ]100001111110011111110011HC-DG
[ 14, 3, 8 ][ 12, 10 ]101100011101111101101011HC
[ 14, 3, 8 ][ 11, 11 ]100101111011101111011001HC
[ 14, 3, 8 ][ 11, 11 ]100110111101110111101001HC
[ 14, 3, 8 ][ 11, 11 ]111010011101111010011101Cyc
[ 14, 4, 6 ][ 13, 7 ]1000000111100111110011HC-DG
[ 14, 4, 4 ][ 12, 8 ]1010101010101101010001HC
[ 14, 4, 4 ][ 12, 8 ]1011101111101101010001HC
[ 14, 4, 7 ][ 12, 8 ]1010101010101111011011HC
[ 14, 4, 6 ][ 11, 9 ]1000010110111011011001HC
[ 14, 4, 7 ][ 11, 9 ]1000011011111101111001HC
[ 14, 4, 7 ][ 11, 9 ]1001101111011110011101HC
[ 14, 4, 7 ][ 11, 9 ]1010110011011111110011HC
[ 14, 4, 7 ][ 11, 9 ]1011010100111111110011HC
[ 14, 4, 6 ][ 10, 10 ]1001010011111101101011HC
[ 14, 4, 6 ][ 10, 10 ]1101000110111010001101Cyc
[ 14, 4, 6 ][ 10, 10 ]1101011011111100101001HC
[ 14, 4, 7 ][ 10, 10 ]1110110101111111001001HC
[ 14, 4, 7 ][ 10, 10 ]1111010001111000111101HC
[ 14, 5, 3 ][ 12, 6 ]10101010101011010001HC
[ 14, 5, 6 ][ 11, 7 ]10110011010111110011HC
[ 14, 5, 6 ][ 10, 8 ]10010011111111011011HC
[ 14, 5, 6 ][ 9, 9 ]11011110011101111001Cyc
[ 14, 5, 6 ][ 9, 9 ]11100111011011011001HC
[ 14, 6, 4 ][ 13, 3 ]100000011000011111HDiEvn-DG
[ 14, 6, 4 ][ 12, 4 ]101011011010111011HDiOdd
[ 14, 6, 4 ][ 11, 5 ]100001001001101101HDiEvn
[ 14, 6, 4 ][ 11, 5 ]100001110101111001HC
[ 14, 6, 4 ][ 10, 6 ]100011110011111101HC
[ 14, 6, 4 ][ 10, 6 ]101001011011101001HC
[ 14, 6, 4 ][ 10, 6 ]101110111011100011HDiOdd
[ 14, 6, 4 ][ 9, 7 ]100000011111100001HC
[ 14, 6, 4 ][ 9, 7 ]100001100111110101HC
[ 14, 6, 4 ][ 9, 7 ]100010010111101011HC
[ 14, 6, 4 ][ 9, 7 ]100100001110100101HDiEvn
[ 14, 6, 4 ][ 9, 7 ]100101110110110001HC
[ 14, 6, 4 ][ 9, 7 ]101010110111001001HC
[ 14, 6, 4 ][ 8, 8 ]100001011111100101HC
[ 14, 6, 4 ][ 8, 8 ]100010101101010001HDiEvn
[ 14, 6, 4 ][ 8, 8 ]100010101101111001HC
[ 14, 6, 4 ][ 8, 8 ]100010101111011001HC
[ 14, 6, 4 ][ 8, 8 ]100010101111110001HC
[ 14, 6, 4 ][ 8, 8 ]100011111101010001HC
[ 14, 6, 4 ][ 8, 8 ]100110111101010001HC
[ 14, 6, 4 ][ 8, 8 ]100111101101010001HC
[ 14, 6, 4 ][ 8, 8 ]101001111110100001HC
[ 14, 6, 4 ][ 8, 8 ]101010001101010001Cyc
[ 14, 6, 4 ][ 8, 8 ]101101101100101001HDiOdd
[ 14, 6, 4 ][ 8, 8 ]110000011110000011Dih
[ 14, 6, 4 ][ 8, 8 ]110010111101010001HC
[ 14, 6, 4 ][ 8, 8 ]110011101101010001HC
[ 14, 6, 4 ][ 8, 8 ]110110101101010001HC
[ 14, 6, 4 ][ 8, 8 ]110111111101010001HC
[ 14, 7, 2 ][ 13, 1 ]1000000000000111HDiEvn-DG
[ 14, 7, 2 ][ 12, 2 ]1010101010101101HDiOdd
[ 14, 7, 2 ][ 12, 2 ]1010101110101101HDiOdd
[ 14, 7, 3 ][ 12, 2 ]1010101010101111HDiOdd
[ 14, 7, 2 ][ 11, 3 ]1000000000011001HDiEvn
[ 14, 7, 3 ][ 11, 3 ]1000011101011101HC
[ 14, 7, 4 ][ 11, 3 ]1010101101011111HC
[ 14, 7, 4 ][ 11, 3 ]1010110101011111HC
[ 14, 7, 3 ][ 10, 4 ]1000111100111001HC
[ 14, 7, 4 ][ 10, 4 ]1000100100111011HDiOdd
[ 14, 7, 4 ][ 10, 4 ]1000111000111011HDiOdd
[ 14, 7, 4 ][ 10, 4 ]1010010010111111HDiOdd
[ 14, 7, 4 ][ 10, 4 ]1010010110111101HC
[ 14, 7, 2 ][ 9, 5 ]1000000001100001HDiEvn
[ 14, 7, 3 ][ 9, 5 ]1000011001110001HC
[ 14, 7, 3 ][ 9, 5 ]1011101001101001HC
[ 14, 7, 4 ][ 9, 5 ]1001101101110101HC
[ 14, 7, 4 ][ 9, 5 ]1010010001111011HC
[ 14, 7, 4 ][ 9, 5 ]1010101101111101HC
[ 14, 7, 4 ][ 9, 5 ]1010110001111001HC
[ 14, 7, 4 ][ 9, 5 ]1010111101101101HC
[ 14, 7, 4 ][ 9, 5 ]1011011001111001HC
[ 14, 7, 4 ][ 9, 5 ]1011110101101101HC
[ 14, 7, 3 ][ 8, 6 ]1000010011101001HC
[ 14, 7, 3 ][ 8, 6 ]1000010111100001HC
[ 14, 7, 3 ][ 8, 6 ]1000101011010001HC
[ 14, 7, 3 ][ 8, 6 ]1001010011001001HDiOdd
[ 14, 7, 3 ][ 8, 6 ]1001110011100011HDiOdd
[ 14, 7, 3 ][ 8, 6 ]1010100011010001HC
[ 14, 7, 3 ][ 8, 6 ]1010100111010001HC
[ 14, 7, 3 ][ 8, 6 ]1010110011010001HC
[ 14, 7, 3 ][ 8, 6 ]1010110111010001HC
[ 14, 7, 3 ][ 8, 6 ]1011100011010001HC
[ 14, 7, 3 ][ 8, 6 ]1011100111010001HC
[ 14, 7, 3 ][ 8, 6 ]1011110011010001HC
[ 14, 7, 3 ][ 8, 6 ]1011110111010001HC
[ 14, 7, 4 ][ 8, 6 ]1000001111100011HDiOdd
[ 14, 7, 4 ][ 8, 6 ]1000101011100101HC
[ 14, 7, 4 ][ 8, 6 ]1000101011101101HC
[ 14, 7, 4 ][ 8, 6 ]1001100111101001HC
[ 14, 7, 4 ][ 8, 6 ]1010011011111101HC
[ 14, 7, 4 ][ 8, 6 ]1010011111110101HC
[ 14, 7, 4 ][ 8, 6 ]1010100011011001HC
[ 14, 7, 4 ][ 8, 6 ]1010100011110001HC
[ 14, 7, 4 ][ 8, 6 ]1010100011110011HC
[ 14, 7, 4 ][ 8, 6 ]1010100011111001HC
[ 14, 7, 4 ][ 8, 6 ]1010100011111011HC
[ 14, 7, 4 ][ 8, 6 ]1011011011011101HDiOdd
[ 14, 7, 4 ][ 8, 6 ]1011111011111111HDiOdd
[ 14, 7, 4 ][ 8, 6 ]1011111111111101HC
[ 14, 7, 2 ][ 7, 7 ]1000000110000001Dih
[ 14, 7, 3 ][ 7, 7 ]1001001110010001HC
[ 14, 7, 3 ][ 7, 7 ]1110000111000001HC
[ 14, 7, 3 ][ 7, 7 ]1110101110100001HC
[ 14, 7, 4 ][ 7, 7 ]1000011111010101HC
[ 14, 7, 4 ][ 7, 7 ]1000111111001101HC
[ 14, 7, 4 ][ 7, 7 ]1001111111000101HC
[ 14, 7, 4 ][ 7, 7 ]1010001111111001HC
[ 14, 7, 4 ][ 7, 7 ]1010011111111011HC
[ 14, 7, 4 ][ 7, 7 ]1010101111100001HC
[ 14, 7, 4 ][ 7, 7 ]1010110111110101HC
[ 14, 7, 4 ][ 7, 7 ]1010111110110101HC
[ 14, 7, 4 ][ 7, 7 ]1010111111110011HC
[ 14, 7, 4 ][ 7, 7 ]1011001111110001HC
[ 14, 7, 4 ][ 7, 7 ]1011011111110011HC
[ 14, 7, 4 ][ 7, 7 ]1011100110110001HC
[ 14, 7, 4 ][ 7, 7 ]1011111110100101HC
[ 14, 7, 4 ][ 7, 7 ]1100111111101011HC
[ 14, 7, 4 ][ 7, 7 ]1100111111101101HC
[ 14, 7, 4 ][ 7, 7 ]1100111111110011HDiOdd
[ 14, 7, 4 ][ 7, 7 ]1100111111110101HC
[ 14, 7, 4 ][ 7, 7 ]1101011111110011HC
[ 14, 7, 4 ][ 7, 7 ]1101111111100101HC
[ 14, 7, 4 ][ 7, 7 ]1110001111011001HC
[ 14, 7, 4 ][ 7, 7 ]1110011111011011HDiEvn
[ 14, 7, 4 ][ 7, 7 ]1111001110101001HC
[ 14, 7, 4 ][ 7, 7 ]1111001110110001HC
[ 14, 7, 4 ][ 7, 7 ]1111001111001001HC
[ 14, 7, 4 ][ 7, 7 ]1111001111010001HC
[ 14, 7, 4 ][ 7, 7 ]1111001111110011Cyc
[ 14, 7, 4 ][ 7, 7 ]1111011111010011HC
[ 14, 7, 4 ][ 7, 7 ]1111110110100101HC
[ 14, 8, 1 ][ 12, 0 ]10101010101011HDiOdd
[ 14, 8, 2 ][ 11, 1 ]10101011010111HDiEvn
[ 14, 8, 3 ][ 10, 2 ]10001110001111HDiOdd
[ 14, 8, 2 ][ 9, 3 ]10101111011001HDiEvn
[ 14, 8, 3 ][ 9, 3 ]10101100011101HC
[ 14, 8, 3 ][ 8, 4 ]10000100111101HC
[ 14, 8, 3 ][ 8, 4 ]10011100111111HDiOdd
[ 14, 8, 3 ][ 8, 4 ]10100110111001HC
[ 14, 8, 2 ][ 7, 5 ]10111111100001HDiEvn
[ 14, 8, 3 ][ 7, 5 ]10000101111011HC
[ 14, 8, 3 ][ 7, 5 ]10001001111101HC
[ 14, 8, 3 ][ 7, 5 ]10011101101001HC
[ 14, 8, 3 ][ 7, 5 ]10101011110101HC
[ 14, 8, 3 ][ 7, 5 ]10101101110001HC
[ 14, 8, 2 ][ 6, 6 ]11111111111111Dih
[ 14, 8, 3 ][ 6, 6 ]10000111110101HC
[ 14, 8, 3 ][ 6, 6 ]10001011010001HDiEvn
[ 14, 8, 3 ][ 6, 6 ]10001011011001HC
[ 14, 8, 3 ][ 6, 6 ]10001011110001HC
[ 14, 8, 3 ][ 6, 6 ]10001011111001HC
[ 14, 8, 3 ][ 6, 6 ]10001111010001HC
[ 14, 8, 3 ][ 6, 6 ]10011011010001HC
[ 14, 8, 3 ][ 6, 6 ]10011111010001HC
[ 14, 8, 3 ][ 6, 6 ]10100011010001Cyc
[ 14, 8, 3 ][ 6, 6 ]10101111100001HC
[ 14, 8, 3 ][ 6, 6 ]10111011001001HDiOdd
[ 14, 8, 3 ][ 6, 6 ]11001011010001HC
[ 14, 8, 3 ][ 6, 6 ]11001111010001HC
[ 14, 8, 3 ][ 6, 6 ]11011011010001HC
[ 14, 8, 3 ][ 6, 6 ]11011111010001HC
[ 14, 9, 2 ][ 8, 2 ]100010101101HC
[ 14, 9, 2 ][ 8, 2 ]101010001101HC
[ 14, 9, 4 ][ 7, 3 ]100011011111HDiEvn
[ 14, 9, 4 ][ 7, 3 ]101100011111HDiEvn
[ 14, 9, 4 ][ 6, 4 ]100101111011HC
[ 14, 9, 4 ][ 6, 4 ]101111111011HC
[ 14, 9, 4 ][ 5, 5 ]100111101101HC
[ 14, 9, 4 ][ 5, 5 ]101101111001HC
[ 14, 9, 4 ][ 5, 5 ]111001111001Cyc
[ 14, 10, 1 ][ 8, 0 ]1000101011HC
[ 14, 10, 1 ][ 8, 0 ]1010100011HC
[ 14, 10, 2 ][ 7, 1 ]1000110111HC
[ 14, 10, 2 ][ 7, 1 ]1010100111HC
[ 14, 10, 2 ][ 6, 2 ]1000101101HDiOdd
[ 14, 10, 2 ][ 6, 2 ]1001101101HDiOdd
[ 14, 10, 2 ][ 6, 2 ]1010001101HDiOdd
[ 14, 10, 2 ][ 6, 2 ]1011001101HDiOdd
[ 14, 10, 3 ][ 6, 2 ]1000101111HC
[ 14, 10, 3 ][ 6, 2 ]1010001111HC
[ 14, 10, 2 ][ 5, 3 ]1001111001HC
[ 14, 10, 2 ][ 5, 3 ]1010111001HC
[ 14, 10, 3 ][ 5, 3 ]1000111101HC
[ 14, 10, 3 ][ 5, 3 ]1000111111HC
[ 14, 10, 3 ][ 5, 3 ]1001011111HC
[ 14, 10, 3 ][ 5, 3 ]1010011111HC
[ 14, 10, 3 ][ 5, 3 ]1011011101HC
[ 14, 10, 3 ][ 5, 3 ]1011111111HC
[ 14, 10, 2 ][ 4, 4 ]1011111011HC
[ 14, 10, 2 ][ 4, 4 ]1101111101HC
[ 14, 10, 2 ][ 4, 4 ]1110111101Cyc
[ 14, 10, 3 ][ 4, 4 ]1101111001HC
[ 14, 10, 3 ][ 4, 4 ]1111111001HC
[ 14, 11, 1 ][ 6, 0 ]10001011HC
[ 14, 11, 1 ][ 6, 0 ]10100011HC
[ 14, 11, 2 ][ 5, 1 ]10010111HDiEvn
[ 14, 11, 2 ][ 5, 1 ]10100111HDiEvn
[ 14, 11, 2 ][ 4, 2 ]10011111HC
[ 14, 11, 2 ][ 4, 2 ]10111111HC
[ 14, 11, 2 ][ 3, 3 ]10111001HC
[ 14, 11, 2 ][ 3, 3 ]11011001HC
[ 14, 11, 2 ][ 3, 3 ]11011101Cyc
[ 14, 12, 2 ][ 2, 2 ]101101Dih
[ 14, 13, 1 ][ 2, 0 ]1011HDiOdd
[ 14, 13, 2 ][ 1, 1 ]1111Dih
[ 14, 14, 1 ][ 0, 0 ]11Dih

Good?