Information on Result #1785349
Digital (228, 260, 633046)-net over F4, using embedding of OOA with Gilbert–Varšamov bound based on linear OA(4260, 633046, F4, 32) (dual of [633046, 632786, 33]-code), using
- discarding factors / shortening the dual code based on linear OA(4260, 1048598, F4, 32) (dual of [1048598, 1048338, 33]-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(4240, 1048576, F4, 32) (dual of [1048576, 1048336, 33]-code), using
- 1 times truncation [i] based on linear OA(4241, 1048577, F4, 33) (dual of [1048577, 1048336, 34]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 1048577 | 420−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (BCH-bound) [i]
- 1 times truncation [i] based on linear OA(4241, 1048577, F4, 33) (dual of [1048577, 1048336, 34]-code), using
- linear OA(420, 22, F4, 16) (dual of [22, 2, 17]-code), using
- (u, u+v)-construction [i] based on
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.