Information on Result #904463
Linear OOA(8169, 4194501, F81, 2, 15) (dual of [(4194501, 2), 8388933, 16]-NRT-code), using (u, u+v)-construction based on
- linear OOA(8112, 200, F81, 2, 7) (dual of [(200, 2), 388, 8]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(814, 6562, F81, 2, 3) (dual of [(6562, 2), 13120, 4]-NRT-code), using
- 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
- (u, u+v)-construction [i] based on
- linear OOA(8157, 4194301, F81, 2, 15) (dual of [(4194301, 2), 8388545, 16]-NRT-code), using
- OOA 2-folding [i] based on linear OA(8157, 8388602, F81, 15) (dual of [8388602, 8388545, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(8157, large, F81, 15) (dual of [large, large−57, 16]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523361 | 818−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(8157, large, F81, 15) (dual of [large, large−57, 16]-code), using
- OOA 2-folding [i] based on linear OA(8157, 8388602, F81, 15) (dual of [8388602, 8388545, 16]-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.