Information on Result #1068938
Linear OOA(8146, 1731, F81, 4, 17) (dual of [(1731, 4), 6878, 18]-NRT-code), using OOA 2-folding based on linear OOA(8146, 3462, F81, 2, 17) (dual of [(3462, 2), 6878, 18]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8146, 3463, F81, 2, 17) (dual of [(3463, 2), 6880, 18]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(8113, 182, F81, 2, 8) (dual of [(182, 2), 351, 9]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(814, 82, F81, 2, 4) (dual of [(82, 2), 160, 5]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;160,81) [i]
- linear OOA(819, 100, F81, 2, 8) (dual of [(100, 2), 191, 9]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,191P) [i] based on function field F/F81 with g(F) = 1 and N(F) ≥ 100, using
- linear OOA(814, 82, F81, 2, 4) (dual of [(82, 2), 160, 5]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(8133, 3281, F81, 2, 17) (dual of [(3281, 2), 6529, 18]-NRT-code), using
- OOA 2-folding [i] based on linear OA(8133, 6562, F81, 17) (dual of [6562, 6529, 18]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 6562 | 814−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- OOA 2-folding [i] based on linear OA(8133, 6562, F81, 17) (dual of [6562, 6529, 18]-code), using
- linear OOA(8113, 182, F81, 2, 8) (dual of [(182, 2), 351, 9]-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.