Information on Result #1539959
Linear OOA(4182, 39544, F4, 3, 29) (dual of [(39544, 3), 118450, 30]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(4182, 39544, F4, 29) (dual of [39544, 39362, 30]-code), using
- discarding factors / shortening the dual code based on linear OA(4182, 65574, F4, 29) (dual of [65574, 65392, 30]-code), using
- construction X applied to C([0,14]) ⊂ C([0,12]) [i] based on
- linear OA(4177, 65537, F4, 29) (dual of [65537, 65360, 30]-code), using the expurgated narrow-sense BCH-code C(I) with length 65537 | 416−1, defining interval I = [0,14], and minimum distance d ≥ |{−14,−13,…,14}|+1 = 30 (BCH-bound) [i]
- linear OA(4145, 65537, F4, 25) (dual of [65537, 65392, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 65537 | 416−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(45, 37, F4, 3) (dual of [37, 32, 4]-code or 37-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 C([0,14]) ⊂ C([0,12]) [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(4182, 7908, F4, 33, 29) (dual of [(7908, 33), 260782, 30]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |