Information on Result #1191690
Digital (94, 107, 2796212)-net over F8, using net defined by OOA based on linear OOA(8107, 2796212, F8, 15, 13) (dual of [(2796212, 15), 41943073, 14]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(8107, 5592425, F8, 3, 13) (dual of [(5592425, 3), 16777168, 14]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8107, 5592426, F8, 3, 13) (dual of [(5592426, 3), 16777171, 14]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(89, 24, F8, 3, 6) (dual of [(24, 3), 63, 7]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,65P) [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using
- the Klein quartic over F8 [i]
- extended algebraic-geometric NRT-code AGe(3;F,65P) [i] based on function field F/F8 with g(F) = 3 and N(F) ≥ 24, using
- linear OOA(898, 5592402, F8, 3, 13) (dual of [(5592402, 3), 16777108, 14]-NRT-code), using
- trace code [i] based on linear OOA(6449, 2796201, F64, 3, 13) (dual of [(2796201, 3), 8388554, 14]-NRT-code), using
- OOA 3-folding [i] based on linear OA(6449, large, F64, 13) (dual of [large, large−49, 14]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 648−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- OOA 3-folding [i] based on linear OA(6449, large, F64, 13) (dual of [large, large−49, 14]-code), using
- trace code [i] based on linear OOA(6449, 2796201, F64, 3, 13) (dual of [(2796201, 3), 8388554, 14]-NRT-code), using
- linear OOA(89, 24, F8, 3, 6) (dual of [(24, 3), 63, 7]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(8107, 5592426, F8, 3, 13) (dual of [(5592426, 3), 16777171, 14]-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.