Information on Result #621814
Linear OA(2142, 164, F2, 51) (dual of [164, 22, 52]-code), using construction XX applied toC3 ⊂ C1 ⊂ C0 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(2106, 127, F2, 47) (dual of [127, 21, 48]-code), using code C1 for u = 7 by de Boer and Brouwer [i]
- linear OA(299, 127, F2, 31) (dual of [127, 28, 32]-code), using code C0 for u = 7 by de Boer and Brouwer [i]
- linear OA(26, 21, F2, 3) (dual of [21, 15, 4]-code or 21-cap in PG(5,2)), using
- discarding factors / shortening the dual code based on linear OA(26, 32, F2, 3) (dual of [32, 26, 4]-code or 32-cap in PG(5,2)), using
- linear OA(215, 16, F2, 15) (dual of [16, 1, 16]-code or 16-arc in PG(14,2)), using
- dual of repetition code with length 16 [i]
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.