Information on Result #1186240
Digital (103, 115, 1398104)-net over F4, using net defined by OOA based on linear OOA(4115, 1398104, F4, 15, 12) (dual of [(1398104, 15), 20971445, 13]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(4115, 2796209, F4, 3, 12) (dual of [(2796209, 3), 8388512, 13]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4115, 2796210, F4, 3, 12) (dual of [(2796210, 3), 8388515, 13]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(47, 9, F4, 3, 6) (dual of [(9, 3), 20, 7]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,20P) [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,20P) [i] based on function field F/F4 with g(F) = 1 and N(F) ≥ 9, using
- linear OOA(4108, 2796201, F4, 3, 12) (dual of [(2796201, 3), 8388495, 13]-NRT-code), using
- OOA 3-folding [i] based on linear OA(4108, large, F4, 12) (dual of [large, large−108, 13]-code), using
- the primitive narrow-sense BCH-code C(I) with length 16777215 = 412−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- OOA 3-folding [i] based on linear OA(4108, large, F4, 12) (dual of [large, large−108, 13]-code), using
- linear OOA(47, 9, F4, 3, 6) (dual of [(9, 3), 20, 7]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(4115, 2796210, F4, 3, 12) (dual of [(2796210, 3), 8388515, 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.