Information on Result #1068853
Linear OOA(8166, 2097208, F81, 4, 15) (dual of [(2097208, 4), 8388766, 16]-NRT-code), using OOA 2-folding based on linear OOA(8166, 4194416, F81, 2, 15) (dual of [(4194416, 2), 8388766, 16]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8166, 4194417, F81, 2, 15) (dual of [(4194417, 2), 8388768, 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(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
- 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, k and s, k and t, m and s, m and t.
Other Results with Identical Parameters
None.
Depending Results
None.