Information on Result #685510
Linear OA(790, 352, F7, 34) (dual of [352, 262, 35]-code), using construction XX applied to Ce(33) ⊂ Ce(31) ⊂ Ce(30) based on
- linear OA(788, 343, F7, 34) (dual of [343, 255, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 342 = 73−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(782, 343, F7, 32) (dual of [343, 261, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 342 = 73−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [i]
- linear OA(779, 343, F7, 31) (dual of [343, 264, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 342 = 73−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [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.