Information on Result #1068665
Linear OOA(8146, 2097191, F81, 4, 11) (dual of [(2097191, 4), 8388718, 12]-NRT-code), using OOA 2-folding based on linear OOA(8146, 4194382, F81, 2, 11) (dual of [(4194382, 2), 8388718, 12]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8146, 4194383, F81, 2, 11) (dual of [(4194383, 2), 8388720, 12]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(815, 82, F81, 2, 5) (dual of [(82, 2), 159, 6]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;159,81) [i]
- linear OOA(8141, 4194301, F81, 2, 11) (dual of [(4194301, 2), 8388561, 12]-NRT-code), using
- OOA 2-folding [i] based on linear OA(8141, 8388602, F81, 11) (dual of [8388602, 8388561, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(8141, large, F81, 11) (dual of [large, large−41, 12]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523361 | 818−1, 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(8141, large, F81, 11) (dual of [large, large−41, 12]-code), using
- OOA 2-folding [i] based on linear OA(8141, 8388602, F81, 11) (dual of [8388602, 8388561, 12]-code), using
- linear OOA(815, 82, F81, 2, 5) (dual of [(82, 2), 159, 6]-NRT-code), using
- (u, u+v)-construction [i] based on
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.