Information on Result #673830
Linear OA(2161, 297, F2, 41) (dual of [297, 136, 42]-code), using construction XX applied to Ce(42) ⊂ Ce(36) ⊂ Ce(30) based on
- linear OA(2141, 256, F2, 43) (dual of [256, 115, 44]-code), using an extension Ce(42) of the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(2125, 256, F2, 37) (dual of [256, 131, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(2117, 256, F2, 31) (dual of [256, 139, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(26, 27, F2, 3) (dual of [27, 21, 4]-code or 27-cap in PG(5,2)), using
- discarding factors / shortening the dual code based on linear OA(26, 32, F2, 3) (dual of [32, 26, 4]-code or 32-cap in PG(5,2)), using
- linear OA(29, 14, F2, 5) (dual of [14, 5, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(29, 15, F2, 5) (dual of [15, 6, 6]-code), using
- code C1 for u = 4 by de Boer and Brouwer [i]
- discarding factors / shortening the dual code based on linear OA(29, 15, F2, 5) (dual of [15, 6, 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.