Information on Result #1068830
Linear OOA(8138, 1698, F81, 4, 15) (dual of [(1698, 4), 6754, 16]-NRT-code), using OOA 2-folding based on linear OOA(8138, 3396, F81, 2, 15) (dual of [(3396, 2), 6754, 16]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8138, 3397, F81, 2, 15) (dual of [(3397, 2), 6756, 16]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(819, 116, F81, 2, 7) (dual of [(116, 2), 223, 8]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,224P) [i] based on function field F/F81 with g(F) = 2 and N(F) ≥ 116, using
- linear OOA(8129, 3281, F81, 2, 15) (dual of [(3281, 2), 6533, 16]-NRT-code), using
- OOA 2-folding [i] based on linear OA(8129, 6562, F81, 15) (dual of [6562, 6533, 16]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 6562 | 814−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- OOA 2-folding [i] based on linear OA(8129, 6562, F81, 15) (dual of [6562, 6533, 16]-code), using
- linear OOA(819, 116, F81, 2, 7) (dual of [(116, 2), 223, 8]-NRT-code), using
- (u, u+v)-construction [i] based on
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
None.