Information on Result #826153
Linear OOA(4194, 2080, F4, 2, 39) (dual of [(2080, 2), 3966, 40]-NRT-code), using OOA 2-folding based on linear OA(4194, 4160, F4, 39) (dual of [4160, 3966, 40]-code), using
- discarding factors / shortening the dual code based on linear OA(4194, 4161, F4, 39) (dual of [4161, 3967, 40]-code), using
- construction X applied to Ce(38) ⊂ Ce(28) [i] based on
- 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(4127, 4096, F4, 29) (dual of [4096, 3969, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(419, 65, F4, 9) (dual of [65, 46, 10]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 65 | 46−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- construction X applied to Ce(38) ⊂ Ce(28) [i] based on
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.