Information on Result #865407
Linear OOA(2763, 9935, F27, 2, 17) (dual of [(9935, 2), 19807, 18]-NRT-code), using OOA 2-folding based on linear OA(2763, 19870, F27, 17) (dual of [19870, 19807, 18]-code), using
- (u, u+v)-construction [i] based on
- linear OA(2714, 184, F27, 8) (dual of [184, 170, 9]-code), using
- construction X applied to Ce(7) ⊂ Ce(6) [i] based on
- linear OA(2714, 183, F27, 8) (dual of [183, 169, 9]-code), using an extension Ce(7) of the narrow-sense BCH-code C(I) with length 182 | 272−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(2713, 183, F27, 7) (dual of [183, 170, 8]-code), using an extension Ce(6) of the narrow-sense BCH-code C(I) with length 182 | 272−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(270, 1, F27, 0) (dual of [1, 1, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(270, s, F27, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(7) ⊂ Ce(6) [i] based on
- linear OA(2749, 19686, F27, 17) (dual of [19686, 19637, 18]-code), using
- construction X applied to Ce(16) ⊂ Ce(15) [i] based on
- linear OA(2749, 19683, F27, 17) (dual of [19683, 19634, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(2746, 19683, F27, 16) (dual of [19683, 19637, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(270, 3, F27, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(270, s, F27, 0) (dual of [s, s, 1]-code) for arbitrarily large s (see above)
- construction X applied to Ce(16) ⊂ Ce(15) [i] based on
- linear OA(2714, 184, F27, 8) (dual of [184, 170, 9]-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.