Information on Result #1186890
Digital (167, 186, 932074)-net over F4, using net defined by OOA based on linear OOA(4186, 932074, F4, 21, 19) (dual of [(932074, 21), 19573368, 20]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(4186, 2796223, F4, 3, 19) (dual of [(2796223, 3), 8388483, 20]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4186, 2796225, F4, 3, 19) (dual of [(2796225, 3), 8388489, 20]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(417, 24, F4, 3, 9) (dual of [(24, 3), 55, 10]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(45, 10, F4, 3, 4) (dual of [(10, 3), 25, 5]-NRT-code), using
- extracting embedded OOA [i] based on digital (1, 5, 10)-net over F4, using
- linear OOA(412, 14, F4, 3, 9) (dual of [(14, 3), 30, 10]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,32P) [i] based on function field F/F4 with g(F) = 3 and N(F) ≥ 14, using
- linear OOA(45, 10, F4, 3, 4) (dual of [(10, 3), 25, 5]-NRT-code), using
- (u, u+v)-construction [i] based on
- 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(417, 24, F4, 3, 9) (dual of [(24, 3), 55, 10]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(4186, 2796225, F4, 3, 19) (dual of [(2796225, 3), 8388489, 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.