Information on Result #1539881
Linear OOA(4181, 3531, F4, 3, 40) (dual of [(3531, 3), 10412, 41]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(4181, 3531, F4, 40) (dual of [3531, 3350, 41]-code), using
- discarding factors / shortening the dual code based on linear OA(4181, 4102, F4, 40) (dual of [4102, 3921, 41]-code), using
- 1 times truncation [i] based on linear OA(4182, 4103, F4, 41) (dual of [4103, 3921, 42]-code), using
- construction X applied to Ce(40) ⊂ Ce(38) [i] based on
- linear OA(4181, 4096, F4, 41) (dual of [4096, 3915, 42]-code), using an extension Ce(40) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(4175, 4096, F4, 39) (dual of [4096, 3921, 40]-code), using an extension Ce(38) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,38], and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(41, 7, F4, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, s, F4, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(40) ⊂ Ce(38) [i] based on
- 1 times truncation [i] based on linear OA(4182, 4103, F4, 41) (dual of [4103, 3921, 42]-code), using
Mode: Linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
None.