Information on Result #685512
Linear OA(798, 371, F7, 34) (dual of [371, 273, 35]-code), using construction XX applied to Ce(33) ⊂ Ce(28) ⊂ Ce(26) 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(773, 343, F7, 29) (dual of [343, 270, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 342 = 73−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- 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(76, 24, F7, 4) (dual of [24, 18, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(76, 42, F7, 4) (dual of [42, 36, 5]-code), using
- 1 times truncation [i] based on linear OA(77, 43, F7, 5) (dual of [43, 36, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(76, 42, F7, 4) (dual of [42, 36, 5]-code), using
- linear OA(71, 4, F7, 1) (dual of [4, 3, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(71, 7, F7, 1) (dual of [7, 6, 2]-code), using
- Reed–Solomon code RS(6,7) [i]
- discarding factors / shortening the dual code based on linear OA(71, 7, F7, 1) (dual of [7, 6, 2]-code), using
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.