Information on Result #610998

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)

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

The following results depend on this result:

ResultThis
result
only
Method
1Linear OA(242, 128, F2, 12) (dual of [128, 86, 13]-code) [i]Truncation
2Linear OA(247, 134, F2, 13) (dual of [134, 87, 14]-code) [i]Construction X with Cyclic Codes
3Linear OA(260, 133, F2, 17) (dual of [133, 73, 18]-code) [i]
4Linear OA(261, 137, F2, 17) (dual of [137, 76, 18]-code) [i]
5Linear OA(262, 145, F2, 17) (dual of [145, 83, 18]-code) [i]
6Linear OA(263, 149, F2, 17) (dual of [149, 86, 18]-code) [i]
7Linear OA(246, 133, F2, 13) (dual of [133, 87, 14]-code) [i]
8Linear OA(247, 137, F2, 13) (dual of [137, 90, 14]-code) [i]
9Linear OA(248, 145, F2, 13) (dual of [145, 97, 14]-code) [i]
10Linear OOA(243, 43, F2, 3, 13) (dual of [(43, 3), 86, 14]-NRT-code) [i]OOA Folding