Information on Result #685697
Linear OA(7103, 182, F7, 45) (dual of [182, 79, 46]-code), using construction XX applied to Ce(44) ⊂ Ce(42) ⊂ Ce(40) based on
- linear OA(7100, 172, F7, 45) (dual of [172, 72, 46]-code), using an extension Ce(44) of the narrow-sense BCH-code C(I) with length 171 | 73−1, defining interval I = [1,44], and designed minimum distance d ≥ |I|+1 = 45 [i]
- linear OA(794, 172, F7, 43) (dual of [172, 78, 44]-code), using an extension Ce(42) of the narrow-sense BCH-code C(I) with length 171 | 73−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(791, 172, F7, 41) (dual of [172, 81, 42]-code), using an extension Ce(40) of the narrow-sense BCH-code C(I) with length 171 | 73−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41 [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(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.