Information on Result #873422
Linear OOA(4941, 1323, F49, 2, 15) (dual of [(1323, 2), 2605, 16]-NRT-code), using OOA 2-folding based on linear OA(4941, 2646, F49, 15) (dual of [2646, 2605, 16]-code), using
- (u, u+v)-construction [i] based on
- linear OA(4912, 243, F49, 7) (dual of [243, 231, 8]-code), using
- construction X applied to Ce(6) ⊂ Ce(5) [i] based on
- linear OA(4912, 241, F49, 7) (dual of [241, 229, 8]-code), using an extension Ce(6) of the narrow-sense BCH-code C(I) with length 240 | 492−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(4910, 241, F49, 6) (dual of [241, 231, 7]-code), using an extension Ce(5) of the narrow-sense BCH-code C(I) with length 240 | 492−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(490, 2, F49, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(490, s, F49, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(6) ⊂ Ce(5) [i] based on
- linear OA(4929, 2403, F49, 15) (dual of [2403, 2374, 16]-code), using
- construction X applied to Ce(14) ⊂ Ce(13) [i] based on
- linear OA(4929, 2401, F49, 15) (dual of [2401, 2372, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 2400 = 492−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(4927, 2401, F49, 14) (dual of [2401, 2374, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 2400 = 492−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(490, 2, F49, 0) (dual of [2, 2, 1]-code) (see above)
- construction X applied to Ce(14) ⊂ Ce(13) [i] based on
- linear OA(4912, 243, F49, 7) (dual of [243, 231, 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.