Information on Result #1422994
Linear OOA(4135, 14005, F4, 2, 24) (dual of [(14005, 2), 27875, 25]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(4135, 14005, F4, 24) (dual of [14005, 13870, 25]-code), using
- discarding factors / shortening the dual code based on linear OA(4135, 16421, F4, 24) (dual of [16421, 16286, 25]-code), using
- 1 times code embedding in larger space [i] based on linear OA(4134, 16420, F4, 24) (dual of [16420, 16286, 25]-code), using
- construction X applied to C([0,12]) ⊂ C([0,9]) [i] based on
- linear OA(4127, 16385, F4, 25) (dual of [16385, 16258, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 414−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(499, 16385, F4, 19) (dual of [16385, 16286, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 414−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- linear OA(47, 35, F4, 4) (dual of [35, 28, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(47, 43, F4, 4) (dual of [43, 36, 5]-code), using
- construction X applied to C([0,12]) ⊂ C([0,9]) [i] based on
- 1 times code embedding in larger space [i] based on linear OA(4134, 16420, F4, 24) (dual of [16420, 16286, 25]-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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(4135, 7002, F4, 3, 24) (dual of [(7002, 3), 20871, 25]-NRT-code) | [i] | OOA Folding | |