Information on Result #685683
Linear OA(7109, 202, F7, 44) (dual of [202, 93, 45]-code), using construction X applied to Ce(43) ⊂ Ce(35) based on
- linear OA(797, 172, F7, 44) (dual of [172, 75, 45]-code), using an extension Ce(43) of the narrow-sense BCH-code C(I) with length 171 | 73−1, defining interval I = [1,43], and designed minimum distance d ≥ |I|+1 = 44 [i]
- linear OA(779, 172, F7, 36) (dual of [172, 93, 37]-code), using an extension Ce(35) of the narrow-sense BCH-code C(I) with length 171 | 73−1, defining interval I = [1,35], and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(712, 30, F7, 7) (dual of [30, 18, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(712, 48, F7, 7) (dual of [48, 36, 8]-code), using
- the primitive narrow-sense BCH-code C(I) with length 48 = 72−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 8 [i]
- discarding factors / shortening the dual code based on linear OA(712, 48, F7, 7) (dual of [48, 36, 8]-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.