Information on Result #1620781
Linear OOA(3134, 2097171, F3, 5, 13) (dual of [(2097171, 5), 10485721, 14]-NRT-code), using OOA 2-folding based on linear OOA(3134, 4194342, F3, 3, 13) (dual of [(4194342, 3), 12582892, 14]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3134, 4194343, F3, 3, 13) (dual of [(4194343, 3), 12582895, 14]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3134, 4194343, F3, 2, 13) (dual of [(4194343, 2), 8388552, 14]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(313, 42, F3, 2, 6) (dual of [(42, 2), 71, 7]-NRT-code), using
- extracting embedded OOA [i] based on digital (7, 13, 42)-net over F3, 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(313, 42, F3, 2, 6) (dual of [(42, 2), 71, 7]-NRT-code), using
- (u, u+v)-construction [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3134, 4194343, F3, 2, 13) (dual of [(4194343, 2), 8388552, 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.
Other Results with Identical Parameters
None.
Depending Results
None.