Information on Result #1191550
Digital (87, 99, 2796212)-net over F8, using net defined by OOA based on linear OOA(899, 2796212, F8, 15, 12) (dual of [(2796212, 15), 41943081, 13]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(899, 5592425, F8, 3, 12) (dual of [(5592425, 3), 16777176, 13]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(899, 5592426, F8, 3, 12) (dual of [(5592426, 3), 16777179, 13]-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(890, 5592402, F8, 3, 12) (dual of [(5592402, 3), 16777116, 13]-NRT-code), using
- trace code [i] based on linear OOA(6445, 2796201, F64, 3, 12) (dual of [(2796201, 3), 8388558, 13]-NRT-code), using
- OOA 3-folding [i] based on linear OA(6445, large, F64, 12) (dual of [large, large−45, 13]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 644−1, defining interval I = [0,11], and designed minimum distance d ≥ |I|+1 = 13 [i]
- OOA 3-folding [i] based on linear OA(6445, large, F64, 12) (dual of [large, large−45, 13]-code), using
- trace code [i] based on linear OOA(6445, 2796201, F64, 3, 12) (dual of [(2796201, 3), 8388558, 13]-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(899, 5592426, F8, 3, 12) (dual of [(5592426, 3), 16777179, 13]-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.