Information on Result #1186886
Digital (164, 183, 932072)-net over F4, using net defined by OOA based on linear OOA(4183, 932072, F4, 21, 19) (dual of [(932072, 21), 19573329, 20]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(4183, 2796217, F4, 3, 19) (dual of [(2796217, 3), 8388468, 20]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4183, 2796218, F4, 3, 19) (dual of [(2796218, 3), 8388471, 20]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(414, 17, F4, 3, 9) (dual of [(17, 3), 37, 10]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,41P) [i] based on function field F/F4 with g(F) = 5 and N(F) ≥ 17, using
- linear OOA(4169, 2796201, F4, 3, 19) (dual of [(2796201, 3), 8388434, 20]-NRT-code), using
- OOA 3-folding [i] based on linear OA(4169, large, F4, 19) (dual of [large, large−169, 20]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 424−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- OOA 3-folding [i] based on linear OA(4169, large, F4, 19) (dual of [large, large−169, 20]-code), using
- linear OOA(414, 17, F4, 3, 9) (dual of [(17, 3), 37, 10]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(4183, 2796218, F4, 3, 19) (dual of [(2796218, 3), 8388471, 20]-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.