Information on Result #2498681
Linear OOA(4229, 2066, F4, 2, 49) (dual of [(2066, 2), 3903, 50]-NRT-code), using 41 times duplication based on linear OOA(4228, 2066, F4, 2, 49) (dual of [(2066, 2), 3904, 50]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(4226, 2065, F4, 2, 49) (dual of [(2065, 2), 3904, 50]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4226, 4130, F4, 49) (dual of [4130, 3904, 50]-code), using
- construction X applied to C([0,24]) ⊂ C([0,21]) [i] based on
- linear OA(4217, 4097, F4, 49) (dual of [4097, 3880, 50]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 412−1, defining interval I = [0,24], and minimum distance d ≥ |{−24,−23,…,24}|+1 = 50 (BCH-bound) [i]
- linear OA(4193, 4097, F4, 43) (dual of [4097, 3904, 44]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 412−1, defining interval I = [0,21], and minimum distance d ≥ |{−21,−20,…,21}|+1 = 44 (BCH-bound) [i]
- linear OA(49, 33, F4, 5) (dual of [33, 24, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(49, 36, F4, 5) (dual of [36, 27, 6]-code), using
- construction X applied to C([0,24]) ⊂ C([0,21]) [i] based on
- OOA 2-folding [i] based on linear OA(4226, 4130, F4, 49) (dual of [4130, 3904, 50]-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.