Information on Result #1620785
Linear OOA(3139, 2097205, F3, 5, 13) (dual of [(2097205, 5), 10485886, 14]-NRT-code), using OOA 2-folding based on linear OOA(3139, 4194410, F3, 3, 13) (dual of [(4194410, 3), 12583091, 14]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3139, 4194411, F3, 3, 13) (dual of [(4194411, 3), 12583094, 14]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3139, 4194411, F3, 2, 13) (dual of [(4194411, 2), 8388683, 14]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(318, 110, F3, 2, 6) (dual of [(110, 2), 202, 7]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(318, 110, F3, 6) (dual of [110, 92, 7]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(317, 108, F3, 6) (dual of [108, 91, 7]-code), using
- linear OA(317, 109, F3, 5) (dual of [109, 92, 6]-code), using Gilbert–Varšamov bound and bm = 317 > Vbs−1(k−1) = 87 402097 [i]
- linear OA(30, 1, F3, 0) (dual of [1, 1, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(30, s, F3, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X with Varšamov bound [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(318, 110, F3, 6) (dual of [110, 92, 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(318, 110, F3, 2, 6) (dual of [(110, 2), 202, 7]-NRT-code), using
- (u, u+v)-construction [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3139, 4194411, F3, 2, 13) (dual of [(4194411, 2), 8388683, 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.