Information on Result #1068633
Linear OOA(8148, 2102011, F81, 4, 10) (dual of [(2102011, 4), 8407996, 11]-NRT-code), using OOA 2-folding based on linear OOA(8148, 4204022, F81, 2, 10) (dual of [(4204022, 2), 8407996, 11]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(8111, 9721, F81, 2, 5) (dual of [(9721, 2), 19431, 6]-NRT-code), using
- OOA 2-folding [i] based on linear OA(8111, 19442, F81, 5) (dual of [19442, 19431, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(8111, 19443, F81, 5) (dual of [19443, 19432, 6]-code), using
- (u, u−v, u+v+w)-construction [i] based on
- linear OA(811, 6481, F81, 1) (dual of [6481, 6480, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(811, s, F81, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- linear OA(813, 6481, F81, 2) (dual of [6481, 6478, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(813, 6643, F81, 2) (dual of [6643, 6640, 3]-code), using
- Hamming code H(3,81) [i]
- discarding factors / shortening the dual code based on linear OA(813, 6643, F81, 2) (dual of [6643, 6640, 3]-code), using
- linear OA(817, 6481, F81, 5) (dual of [6481, 6474, 6]-code), using
- linear OA(811, 6481, F81, 1) (dual of [6481, 6480, 2]-code), using
- (u, u−v, u+v+w)-construction [i] based on
- discarding factors / shortening the dual code based on linear OA(8111, 19443, F81, 5) (dual of [19443, 19432, 6]-code), using
- OOA 2-folding [i] based on linear OA(8111, 19442, F81, 5) (dual of [19442, 19431, 6]-code), using
- linear OOA(8137, 4194301, F81, 2, 10) (dual of [(4194301, 2), 8388565, 11]-NRT-code), using
- OOA 2-folding [i] based on linear OA(8137, 8388602, F81, 10) (dual of [8388602, 8388565, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(8137, large, F81, 10) (dual of [large, large−37, 11]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523360 | 814−1, defining interval I = [0,9], and designed minimum distance d ≥ |I|+1 = 11 [i]
- discarding factors / shortening the dual code based on linear OA(8137, large, F81, 10) (dual of [large, large−37, 11]-code), using
- OOA 2-folding [i] based on linear OA(8137, 8388602, F81, 10) (dual of [8388602, 8388565, 11]-code), using
- linear OOA(8111, 9721, F81, 2, 5) (dual of [(9721, 2), 19431, 6]-NRT-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.