Information on Result #900505
Linear OOA(2760, 4194680, F27, 2, 11) (dual of [(4194680, 2), 8389300, 12]-NRT-code), using (u, u+v)-construction based on
- linear OOA(279, 379, F27, 2, 5) (dual of [(379, 2), 749, 6]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(272, 28, F27, 2, 2) (dual of [(28, 2), 54, 3]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;54,27) [i]
- linear OOA(277, 351, F27, 2, 5) (dual of [(351, 2), 695, 6]-NRT-code), using
- OOA 2-folding [i] based on linear OA(277, 702, F27, 5) (dual of [702, 695, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(277, 703, F27, 5) (dual of [703, 696, 6]-code), using
- OOA 2-folding [i] based on linear OA(277, 702, F27, 5) (dual of [702, 695, 6]-code), using
- linear OOA(272, 28, F27, 2, 2) (dual of [(28, 2), 54, 3]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(2751, 4194301, F27, 2, 11) (dual of [(4194301, 2), 8388551, 12]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2751, 8388602, F27, 11) (dual of [8388602, 8388551, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(2751, large, F27, 11) (dual of [large, large−51, 12]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 14348908 | 2710−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(2751, large, F27, 11) (dual of [large, large−51, 12]-code), using
- OOA 2-folding [i] based on linear OA(2751, 8388602, F27, 11) (dual of [8388602, 8388551, 12]-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.