Information on Result #685501
Linear OA(7104, 371, F7, 37) (dual of [371, 267, 38]-code), using construction XX applied to Ce(36) ⊂ Ce(30) ⊂ Ce(29) based on
- linear OA(794, 343, F7, 37) (dual of [343, 249, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 342 = 73−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [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(776, 343, F7, 30) (dual of [343, 267, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 342 = 73−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(77, 25, F7, 5) (dual of [25, 18, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(77, 43, F7, 5) (dual of [43, 36, 6]-code), using
- linear OA(70, 3, F7, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(70, s, F7, 0) (dual of [s, s, 1]-code) for arbitrarily large s, 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.