Information on Result #685569
Linear OA(754, 352, F7, 20) (dual of [352, 298, 21]-code), using construction XX applied to Ce(19) ⊂ Ce(17) ⊂ Ce(16) based on
- linear OA(752, 343, F7, 20) (dual of [343, 291, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 342 = 73−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(746, 343, F7, 18) (dual of [343, 297, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 342 = 73−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [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(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.