Information on Result #685430
Linear OA(771, 369, F7, 24) (dual of [369, 298, 25]-code), using construction X applied to Ce(23) ⊂ Ce(16) based on
- linear OA(761, 343, F7, 24) (dual of [343, 282, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 342 = 73−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(743, 343, F7, 17) (dual of [343, 300, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 342 = 73−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(710, 26, F7, 6) (dual of [26, 16, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(710, 27, F7, 6) (dual of [27, 17, 7]-code), using
- construction X applied to Ce(5) ⊂ Ce(4) [i] based on
- linear OA(710, 25, F7, 6) (dual of [25, 15, 7]-code), using an extension Ce(5) of the narrow-sense BCH-code C(I) with length 24 | 72−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(78, 25, F7, 5) (dual of [25, 17, 6]-code), using an extension Ce(4) of the narrow-sense BCH-code C(I) with length 24 | 72−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(70, 2, F7, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(70, s, F7, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(5) ⊂ Ce(4) [i] based on
- discarding factors / shortening the dual code based on linear OA(710, 27, F7, 6) (dual of [27, 17, 7]-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.