Information on Result #1192114
Digital (113, 131, 932071)-net over F8, using net defined by OOA based on linear OOA(8131, 932071, F8, 21, 18) (dual of [(932071, 21), 19573360, 19]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(8131, 2796214, F8, 3, 18) (dual of [(2796214, 3), 8388511, 19]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8131, 2796215, F8, 3, 18) (dual of [(2796215, 3), 8388514, 19]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(810, 14, F8, 3, 9) (dual of [(14, 3), 32, 10]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,32P) [i] based on function field F/F8 with g(F) = 1 and N(F) ≥ 14, using
- linear OOA(8121, 2796201, F8, 3, 18) (dual of [(2796201, 3), 8388482, 19]-NRT-code), using
- OOA 3-folding [i] based on linear OA(8121, large, F8, 18) (dual of [large, large−121, 19]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 88−1, defining interval I = [0,17], and designed minimum distance d ≥ |I|+1 = 19 [i]
- OOA 3-folding [i] based on linear OA(8121, large, F8, 18) (dual of [large, large−121, 19]-code), using
- linear OOA(810, 14, F8, 3, 9) (dual of [(14, 3), 32, 10]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(8131, 2796215, F8, 3, 18) (dual of [(2796215, 3), 8388514, 19]-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, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.