Information on Result #1288009
Linear OA(247, 156, F2, 12) (dual of [156, 109, 13]-code), using construction Y1 based on
- linear OA(248, 256, F2, 12) (dual of [256, 208, 13]-code), using
- 1 times truncation [i] based on linear OA(249, 257, F2, 13) (dual of [257, 208, 14]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 257 | 216−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- 1 times truncation [i] based on linear OA(249, 257, F2, 13) (dual of [257, 208, 14]-code), using
- nonexistence of OA(2208, 256, S2, 100), because
- discarding factors would yield OA(2208, 231, S2, 100), but
- the linear programming bound shows that M ≥ 233249 033580 853850 928523 181090 679150 953723 061936 188989 177608 090998 013952 / 564 257421 > 2208 [i]
- discarding factors would yield OA(2208, 231, S2, 100), but
Mode: 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.