Information on Result #1644093
Linear OOA(3140, 4194422, F3, 5, 13) (dual of [(4194422, 5), 20971970, 14]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3140, 4194422, F3, 2, 13) (dual of [(4194422, 2), 8388704, 14]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(319, 121, F3, 2, 6) (dual of [(121, 2), 223, 7]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(319, 121, F3, 6) (dual of [121, 102, 7]-code), using
- 1 times truncation [i] based on linear OA(320, 122, F3, 7) (dual of [122, 102, 8]-code), using
- a “DaH†code from Brouwer’s database [i]
- 1 times truncation [i] based on linear OA(320, 122, F3, 7) (dual of [122, 102, 8]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(319, 121, F3, 6) (dual of [121, 102, 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(319, 121, F3, 2, 6) (dual of [(121, 2), 223, 7]-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.