Information on Result #1551029
Linear OOA(5148, 69123, F5, 3, 25) (dual of [(69123, 3), 207221, 26]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(5148, 69123, F5, 25) (dual of [69123, 68975, 26]-code), using
- discarding factors / shortening the dual code based on linear OA(5148, 78161, F5, 25) (dual of [78161, 78013, 26]-code), using
- 2 times code embedding in larger space [i] based on linear OA(5146, 78159, F5, 25) (dual of [78159, 78013, 26]-code), using
- construction X applied to C([0,12]) ⊂ C([0,10]) [i] based on
- linear OA(5141, 78126, F5, 25) (dual of [78126, 77985, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 78126 | 514−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(5113, 78126, F5, 21) (dual of [78126, 78013, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 78126 | 514−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- linear OA(55, 33, F5, 3) (dual of [33, 28, 4]-code or 33-cap in PG(4,5)), using
- discarding factors / shortening the dual code based on linear OA(55, 42, F5, 3) (dual of [42, 37, 4]-code or 42-cap in PG(4,5)), using
- construction X applied to C([0,12]) ⊂ C([0,10]) [i] based on
- 2 times code embedding in larger space [i] based on linear OA(5146, 78159, F5, 25) (dual of [78159, 78013, 26]-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(5148, 17280, F5, 27, 25) (dual of [(17280, 27), 466412, 26]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |