Information on Result #685539
Linear OA(772, 352, F7, 27) (dual of [352, 280, 28]-code), using construction XX applied to Ce(26) ⊂ Ce(24) ⊂ Ce(23) based on
- linear OA(770, 343, F7, 27) (dual of [343, 273, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 342 = 73−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(764, 343, F7, 25) (dual of [343, 279, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 342 = 73−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- 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(71, 8, F7, 1) (dual of [8, 7, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(71, 342, F7, 1) (dual of [342, 341, 2]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 342 = 73−1, defining interval I = [0,0], and designed minimum distance d ≥ |I|+1 = 2 [i]
- discarding factors / shortening the dual code based on linear OA(71, 342, F7, 1) (dual of [342, 341, 2]-code), using
- linear OA(70, 1, F7, 0) (dual of [1, 1, 1]-code), using
- dual of repetition code with length 1 [i]
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.