Information on Result #1720608
Digital (180, 213, 9033)-net over F4, using net defined by OOA based on linear OOA(4213, 9033, F4, 39, 33) (dual of [(9033, 39), 352074, 34]-NRT-code), using
- OOA 6-folding and stacking with additional row [i] based on linear OOA(4213, 54199, F4, 3, 33) (dual of [(54199, 3), 162384, 34]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4213, 54203, F4, 3, 33) (dual of [(54203, 3), 162396, 34]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4213, 54203, F4, 33) (dual of [54203, 53990, 34]-code), using
- discarding factors / shortening the dual code based on linear OA(4213, 65559, F4, 33) (dual of [65559, 65346, 34]-code), using
- (u, u+v)-construction [i] based on
- linear OA(420, 22, F4, 16) (dual of [22, 2, 17]-code), using
- 3 times truncation [i] based on linear OA(423, 25, F4, 19) (dual of [25, 2, 20]-code), using
- repeating each code word 5 times [i] based on linear OA(43, 5, F4, 3) (dual of [5, 2, 4]-code or 5-arc in PG(2,4) or 5-cap in PG(2,4)), using
- extended Reed–Solomon code RSe(2,4) [i]
- Simplex code S(2,4) [i]
- repeating each code word 5 times [i] based on linear OA(43, 5, F4, 3) (dual of [5, 2, 4]-code or 5-arc in PG(2,4) or 5-cap in PG(2,4)), using
- 3 times truncation [i] based on linear OA(423, 25, F4, 19) (dual of [25, 2, 20]-code), using
- linear OA(4193, 65537, F4, 33) (dual of [65537, 65344, 34]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 65537 | 416−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (BCH-bound) [i]
- linear OA(420, 22, F4, 16) (dual of [22, 2, 17]-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OA(4213, 65559, F4, 33) (dual of [65559, 65346, 34]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4213, 54203, F4, 33) (dual of [54203, 53990, 34]-code), using
- discarding factors / shortening the dual code based on linear OOA(4213, 54203, F4, 3, 33) (dual of [(54203, 3), 162396, 34]-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.