Information on Result #1778754
Digital (144, 185, 3524)-net over F4, using embedding of OOA with Gilbert–Varšamov bound based on linear OA(4185, 3524, F4, 41) (dual of [3524, 3339, 42]-code), using
- discarding factors / shortening the dual code based on linear OA(4185, 4113, F4, 41) (dual of [4113, 3928, 42]-code), using
- construction X applied to C([0,20]) ⊂ C([0,18]) [i] based on
- linear OA(4181, 4097, F4, 41) (dual of [4097, 3916, 42]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 412−1, defining interval I = [0,20], and minimum distance d ≥ |{−20,−19,…,20}|+1 = 42 (BCH-bound) [i]
- linear OA(4169, 4097, F4, 37) (dual of [4097, 3928, 38]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 412−1, defining interval I = [0,18], and minimum distance d ≥ |{−18,−17,…,18}|+1 = 38 (BCH-bound) [i]
- linear OA(44, 16, F4, 3) (dual of [16, 12, 4]-code or 16-cap in PG(3,4)), using
- construction X applied to C([0,20]) ⊂ C([0,18]) [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.