Information on Result #1713180
Digital (128, 141, 2097250)-net over F3, using net defined by OOA based on linear OOA(3141, 2097250, F3, 15, 13) (dual of [(2097250, 15), 31458609, 14]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(3141, 4194501, F3, 3, 13) (dual of [(4194501, 3), 12583362, 14]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3141, 4194502, F3, 3, 13) (dual of [(4194502, 3), 12583365, 14]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3141, 4194502, F3, 2, 13) (dual of [(4194502, 2), 8388863, 14]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(320, 201, F3, 2, 6) (dual of [(201, 2), 382, 7]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(320, 201, F3, 6) (dual of [201, 181, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(320, 242, F3, 6) (dual of [242, 222, 7]-code), using
- the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- discarding factors / shortening the dual code based on linear OA(320, 242, F3, 6) (dual of [242, 222, 7]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(320, 201, F3, 6) (dual of [201, 181, 7]-code), using
- linear OOA(3121, 4194301, F3, 2, 13) (dual of [(4194301, 2), 8388481, 14]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3121, 8388602, F3, 13) (dual of [8388602, 8388481, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(3121, large, F3, 13) (dual of [large, large−121, 14]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 14348908 | 330−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(3121, large, F3, 13) (dual of [large, large−121, 14]-code), using
- OOA 2-folding [i] based on linear OA(3121, 8388602, F3, 13) (dual of [8388602, 8388481, 14]-code), using
- linear OOA(320, 201, F3, 2, 6) (dual of [(201, 2), 382, 7]-NRT-code), using
- (u, u+v)-construction [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3141, 4194502, F3, 2, 13) (dual of [(4194502, 2), 8388863, 14]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3141, 4194502, F3, 3, 13) (dual of [(4194502, 3), 12583365, 14]-NRT-code), using
Mode: 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.