Information on Result #685579
Linear OA(756, 371, F7, 18) (dual of [371, 315, 19]-code), using construction XX applied to Ce(17) ⊂ Ce(11) ⊂ Ce(10) based on
- 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(731, 343, F7, 12) (dual of [343, 312, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 342 = 73−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(728, 343, F7, 11) (dual of [343, 315, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 342 = 73−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [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.