Information on Result #621766
Linear OA(2154, 174, F2, 63) (dual of [174, 20, 64]-code), using construction XX applied toC3 ⊂ C2 ⊂ C1 based on
- linear OA(2120, 127, F2, 63) (dual of [127, 7, 64]-code), using code C3 for u = 7 by de Boer and Brouwer [i]
- linear OA(2113, 127, F2, 55) (dual of [127, 14, 56]-code), using code C2 for u = 7 by de Boer and Brouwer [i]
- linear OA(2106, 127, F2, 47) (dual of [127, 21, 48]-code), using code C1 for u = 7 by de Boer and Brouwer [i]
- linear OA(216, 29, F2, 7) (dual of [29, 13, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(216, 31, F2, 7) (dual of [31, 15, 8]-code), using
- code C0 for u = 5 by de Boer and Brouwer [i]
- discarding factors / shortening the dual code based on linear OA(216, 31, F2, 7) (dual of [31, 15, 8]-code), using
- linear OA(212, 18, F2, 7) (dual of [18, 6, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(212, 24, F2, 7) (dual of [24, 12, 8]-code), using
- extended Golay code Ge(2) [i]
- discarding factors / shortening the dual code based on linear OA(212, 24, F2, 7) (dual of [24, 12, 8]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
None.