Information on Result #1069470
Linear OOA(8180, 1740, F81, 4, 29) (dual of [(1740, 4), 6880, 30]-NRT-code), using OOA 2-folding based on linear OOA(8180, 3480, F81, 2, 29) (dual of [(3480, 2), 6880, 30]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8180, 3481, F81, 2, 29) (dual of [(3481, 2), 6882, 30]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(8123, 200, F81, 2, 14) (dual of [(200, 2), 377, 15]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(818, 100, F81, 2, 7) (dual of [(100, 2), 192, 8]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,192P) [i] based on function field F/F81 with g(F) = 1 and N(F) ≥ 100, using
- linear OOA(8115, 100, F81, 2, 14) (dual of [(100, 2), 185, 15]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,185P) [i] based on function field F/F81 with g(F) = 1 and N(F) ≥ 100 (see above)
- linear OOA(818, 100, F81, 2, 7) (dual of [(100, 2), 192, 8]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(8157, 3281, F81, 2, 29) (dual of [(3281, 2), 6505, 30]-NRT-code), using
- OOA 2-folding [i] based on linear OA(8157, 6562, F81, 29) (dual of [6562, 6505, 30]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 6562 | 814−1, defining interval I = [0,14], and minimum distance d ≥ |{−14,−13,…,14}|+1 = 30 (BCH-bound) [i]
- OOA 2-folding [i] based on linear OA(8157, 6562, F81, 29) (dual of [6562, 6505, 30]-code), using
- linear OOA(8123, 200, F81, 2, 14) (dual of [(200, 2), 377, 15]-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.