Information on Result #1288019
Linear OA(296, 115, F2, 41) (dual of [115, 19, 42]-code), using construction Y1 based on
- linear OA(297, 126, F2, 41) (dual of [126, 29, 42]-code), using
- 2 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]
- 2 times truncation [i] based on linear OA(299, 128, F2, 43) (dual of [128, 29, 44]-code), using
- nonexistence of OA(229, 126, S2, 11), because
- 1 times truncation [i] would yield OA(228, 125, S2, 10), but
- the linear programming bound shows that M ≥ 97 970049 515520 / 363679 > 228 [i]
- 1 times truncation [i] would yield OA(228, 125, S2, 10), 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.