Information on Result #1288005
Linear OA(241, 88, F2, 12) (dual of [88, 47, 13]-code), using construction Y1 based on
- linear OA(242, 128, F2, 12) (dual of [128, 86, 13]-code), using
- 1 times truncation [i] based on linear OA(243, 129, F2, 13) (dual of [129, 86, 14]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 129 | 214−1, 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(243, 129, F2, 13) (dual of [129, 86, 14]-code), using
- nonexistence of OA(286, 128, S2, 40), because
- discarding factors would yield OA(286, 117, S2, 40), but
- the linear programming bound shows that M ≥ 130542 530684 708997 729272 044030 263296 / 1503 240375 > 286 [i]
- discarding factors would yield OA(286, 117, S2, 40), 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.