Information on Result #2443143
Linear OOA(4205, 2060, F4, 2, 44) (dual of [(2060, 2), 3915, 45]-NRT-code), using strength reduction based on linear OOA(4205, 2060, F4, 2, 45) (dual of [(2060, 2), 3915, 46]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4205, 4120, F4, 45) (dual of [4120, 3915, 46]-code), using
- 1 times code embedding in larger space [i] based on linear OA(4204, 4119, F4, 45) (dual of [4119, 3915, 46]-code), using
- construction X applied to Ce(44) ⊂ Ce(40) [i] based on
- linear OA(4199, 4096, F4, 45) (dual of [4096, 3897, 46]-code), using an extension Ce(44) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,44], and designed minimum distance d ≥ |I|+1 = 45 [i]
- 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(45, 23, F4, 3) (dual of [23, 18, 4]-code or 23-cap in PG(4,4)), using
- discarding factors / shortening the dual code based on linear OA(45, 41, F4, 3) (dual of [41, 36, 4]-code or 41-cap in PG(4,4)), using
- construction X applied to Ce(44) ⊂ Ce(40) [i] based on
- 1 times code embedding in larger space [i] based on linear OA(4204, 4119, F4, 45) (dual of [4119, 3915, 46]-code), using
Mode: Constructive and 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.