Information on Result #1288018
Linear OA(295, 113, F2, 40) (dual of [113, 18, 41]-code), using construction Y1 based on
- linear OA(296, 125, F2, 40) (dual of [125, 29, 41]-code), using
- 3 times truncation [i] based on linear OA(299, 128, F2, 43) (dual of [128, 29, 44]-code), using
- an extension Ce(42) of the primitive narrow-sense BCH-code C(I) with length 127 = 27−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43 [i]
- 3 times truncation [i] based on linear OA(299, 128, F2, 43) (dual of [128, 29, 44]-code), using
- nonexistence of OA(229, 125, S2, 12), because
- discarding factors would yield OA(229, 87, S2, 12), but
- the Rao or (dual) Hamming bound shows that M ≥ 544 266955 > 229 [i]
- discarding factors would yield OA(229, 87, S2, 12), 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.