Information on Result #673514
Linear OA(2140, 284, F2, 35) (dual of [284, 144, 36]-code), using construction X applied to C([0,18]) ⊂ C([0,14]) based on
- linear OA(2129, 257, F2, 37) (dual of [257, 128, 38]-code), using the expurgated narrow-sense BCH-code C(I) with length 257 | 216−1, defining interval I = [0,18], and minimum distance d ≥ |{−18,−17,…,18}|+1 = 38 (BCH-bound) [i]
- linear OA(2113, 257, F2, 29) (dual of [257, 144, 30]-code), using the expurgated narrow-sense BCH-code C(I) with length 257 | 216−1, defining interval I = [0,14], and minimum distance d ≥ |{−14,−13,…,14}|+1 = 30 (BCH-bound) [i]
- linear OA(211, 27, F2, 5) (dual of [27, 16, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(211, 32, F2, 5) (dual of [32, 21, 6]-code), using
- an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 31 = 25−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- discarding factors / shortening the dual code based on linear OA(211, 32, F2, 5) (dual of [32, 21, 6]-code), using
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.
Other Results with Identical Parameters
None.
Depending Results
None.