Information on Result #900847
Linear OOA(27107, 4194393, F27, 2, 19) (dual of [(4194393, 2), 8388679, 20]-NRT-code), using (u, u+v)-construction based on
- linear OOA(2716, 92, F27, 2, 9) (dual of [(92, 2), 168, 10]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2716, 184, F27, 9) (dual of [184, 168, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(2716, 185, F27, 9) (dual of [185, 169, 10]-code), using
- construction X applied to Ce(8) ⊂ Ce(7) [i] based on
- linear OA(2716, 183, F27, 9) (dual of [183, 167, 10]-code), using an extension Ce(8) of the narrow-sense BCH-code C(I) with length 182 | 272−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- 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(270, 2, F27, 0) (dual of [2, 2, 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(8) ⊂ Ce(7) [i] based on
- discarding factors / shortening the dual code based on linear OA(2716, 185, F27, 9) (dual of [185, 169, 10]-code), using
- OOA 2-folding [i] based on linear OA(2716, 184, F27, 9) (dual of [184, 168, 10]-code), using
- linear OOA(2791, 4194301, F27, 2, 19) (dual of [(4194301, 2), 8388511, 20]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2791, 8388602, F27, 19) (dual of [8388602, 8388511, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(2791, large, F27, 19) (dual of [large, large−91, 20]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 14348908 | 2710−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(2791, large, F27, 19) (dual of [large, large−91, 20]-code), using
- OOA 2-folding [i] based on linear OA(2791, 8388602, F27, 19) (dual of [8388602, 8388511, 20]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t.
Other Results with Identical Parameters
None.
Depending Results
None.