Information on Result #1186770
Digital (149, 167, 932069)-net over F4, using net defined by OOA based on linear OOA(4167, 932069, F4, 21, 18) (dual of [(932069, 21), 19573282, 19]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(4167, 2796208, F4, 3, 18) (dual of [(2796208, 3), 8388457, 19]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4167, 2796210, F4, 3, 18) (dual of [(2796210, 3), 8388463, 19]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(410, 9, F4, 3, 9) (dual of [(9, 3), 17, 10]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,17P) [i] based on function field F/F4 with g(F) = 1 and N(F) ≥ 9, using
- the Hermitian function field over F4 [i]
- extended algebraic-geometric NRT-code AGe(3;F,17P) [i] based on function field F/F4 with g(F) = 1 and N(F) ≥ 9, using
- linear OOA(4157, 2796201, F4, 3, 18) (dual of [(2796201, 3), 8388446, 19]-NRT-code), using
- OOA 3-folding [i] based on linear OA(4157, large, F4, 18) (dual of [large, large−157, 19]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 412−1, defining interval I = [0,17], and designed minimum distance d ≥ |I|+1 = 19 [i]
- OOA 3-folding [i] based on linear OA(4157, large, F4, 18) (dual of [large, large−157, 19]-code), using
- linear OOA(410, 9, F4, 3, 9) (dual of [(9, 3), 17, 10]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(4167, 2796210, F4, 3, 18) (dual of [(2796210, 3), 8388463, 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.