Information on Result #1541456
Linear OOA(4202, 33133, F4, 3, 33) (dual of [(33133, 3), 99197, 34]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(4202, 33133, F4, 33) (dual of [33133, 32931, 34]-code), using
- discarding factors / shortening the dual code based on linear OA(4202, 65573, F4, 33) (dual of [65573, 65371, 34]-code), using
- construction X applied to C([0,16]) ⊂ C([0,13]) [i] based on
- linear OA(4193, 65537, F4, 33) (dual of [65537, 65344, 34]-code), using the expurgated narrow-sense BCH-code C(I) with length 65537 | 416−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (BCH-bound) [i]
- linear OA(4161, 65537, F4, 27) (dual of [65537, 65376, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 65537 | 416−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (BCH-bound) [i]
- linear OA(49, 36, F4, 5) (dual of [36, 27, 6]-code), using
- construction X applied to C([0,16]) ⊂ C([0,13]) [i] based on
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(4202, 5522, F4, 39, 33) (dual of [(5522, 39), 215156, 34]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |