Information on Result #685729
Linear OA(784, 184, F7, 36) (dual of [184, 100, 37]-code), using construction XX applied to Ce(35) ⊂ Ce(32) ⊂ Ce(30) based on
- linear OA(779, 172, F7, 36) (dual of [172, 93, 37]-code), using an extension Ce(35) of the narrow-sense BCH-code C(I) with length 171 | 73−1, defining interval I = [1,35], and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(773, 172, F7, 33) (dual of [172, 99, 34]-code), using an extension Ce(32) of the narrow-sense BCH-code C(I) with length 171 | 73−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(770, 172, F7, 31) (dual of [172, 102, 32]-code), using an extension Ce(30) of the narrow-sense BCH-code C(I) with length 171 | 73−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(73, 10, F7, 2) (dual of [10, 7, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(73, 48, F7, 2) (dual of [48, 45, 3]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 48 = 72−1, defining interval I = [0,1], and designed minimum distance d ≥ |I|+1 = 3 [i]
- discarding factors / shortening the dual code based on linear OA(73, 48, F7, 2) (dual of [48, 45, 3]-code), using
- linear OA(71, 2, F7, 1) (dual of [2, 1, 2]-code), using
- dual of repetition code with length 2 [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.