Information on Result #1197340
Digital (11, 19, 196)-net over F27, using net defined by OOA based on linear OOA(2719, 196, F27, 10, 8) (dual of [(196, 10), 1941, 9]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(2719, 393, F27, 2, 8) (dual of [(393, 2), 767, 9]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2719, 394, F27, 2, 8) (dual of [(394, 2), 769, 9]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(274, 28, F27, 2, 4) (dual of [(28, 2), 52, 5]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;52,27) [i]
- linear OOA(2715, 366, F27, 2, 8) (dual of [(366, 2), 717, 9]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2715, 732, F27, 8) (dual of [732, 717, 9]-code), using
- construction XX applied to C1 = C([727,5]), C2 = C([0,6]), C3 = C1 + C2 = C([0,5]), and C∩ = C1 ∩ C2 = C([727,6]) [i] based on
- linear OA(2713, 728, F27, 7) (dual of [728, 715, 8]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {−1,0,…,5}, and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(2713, 728, F27, 7) (dual of [728, 715, 8]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [0,6], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(2715, 728, F27, 8) (dual of [728, 713, 9]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {−1,0,…,6}, and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(2711, 728, F27, 6) (dual of [728, 717, 7]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(270, 2, F27, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(270, s, F27, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- linear OA(270, 2, F27, 0) (dual of [2, 2, 1]-code) (see above)
- construction XX applied to C1 = C([727,5]), C2 = C([0,6]), C3 = C1 + C2 = C([0,5]), and C∩ = C1 ∩ C2 = C([727,6]) [i] based on
- OOA 2-folding [i] based on linear OA(2715, 732, F27, 8) (dual of [732, 717, 9]-code), using
- linear OOA(274, 28, F27, 2, 4) (dual of [(28, 2), 52, 5]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(2719, 394, F27, 2, 8) (dual of [(394, 2), 769, 9]-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.