Information on Result #896618
Linear OOA(8142, 4194326, F8, 2, 19) (dual of [(4194326, 2), 8388510, 20]-NRT-code), using (u, u+v)-construction based on
- linear OOA(813, 25, F8, 2, 9) (dual of [(25, 2), 37, 10]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,40P) [i] based on function field F/F8 with g(F) = 4 and N(F) ≥ 25, using
- linear OOA(8129, 4194301, F8, 2, 19) (dual of [(4194301, 2), 8388473, 20]-NRT-code), using
- OOA 2-folding [i] based on linear OA(8129, 8388602, F8, 19) (dual of [8388602, 8388473, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(8129, large, F8, 19) (dual of [large, large−129, 20]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 816−1, 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(8129, large, F8, 19) (dual of [large, large−129, 20]-code), using
- OOA 2-folding [i] based on linear OA(8129, 8388602, F8, 19) (dual of [8388602, 8388473, 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.