Information on Result #2517935
Linear OOA(25101, 4194368, F25, 2, 18) (dual of [(4194368, 2), 8388635, 19]-NRT-code), using 1 times NRT-code embedding in larger space based on linear OOA(2599, 4194367, F25, 2, 18) (dual of [(4194367, 2), 8388635, 19]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(2513, 66, F25, 2, 9) (dual of [(66, 2), 119, 10]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,122P) [i] based on function field F/F25 with g(F) = 4 and N(F) ≥ 66, using
- linear OOA(2586, 4194301, F25, 2, 18) (dual of [(4194301, 2), 8388516, 19]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2586, 8388602, F25, 18) (dual of [8388602, 8388516, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(2586, large, F25, 18) (dual of [large, large−86, 19]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 9765624 = 255−1, defining interval I = [0,17], and designed minimum distance d ≥ |I|+1 = 19 [i]
- discarding factors / shortening the dual code based on linear OA(2586, large, F25, 18) (dual of [large, large−86, 19]-code), using
- OOA 2-folding [i] based on linear OA(2586, 8388602, F25, 18) (dual of [8388602, 8388516, 19]-code), using
- linear OOA(2513, 66, F25, 2, 9) (dual of [(66, 2), 119, 10]-NRT-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.