Information on Result #683433
Linear OA(5112, 630, F5, 36) (dual of [630, 518, 37]-code), using construction X applied to Ce(35) ⊂ Ce(33) based on
- linear OA(5111, 625, F5, 36) (dual of [625, 514, 37]-code), using an extension Ce(35) of the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,35], and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(5107, 625, F5, 34) (dual of [625, 518, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(51, 5, F5, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(51, s, F5, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(5112, 626, F5, 2, 36) (dual of [(626, 2), 1140, 37]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(5112, 626, F5, 3, 36) (dual of [(626, 3), 1766, 37]-NRT-code) | [i] | ||
| 3 | Digital (76, 112, 626)-net over F5 | [i] | ||
| 4 | Linear OOA(5112, 315, F5, 2, 36) (dual of [(315, 2), 518, 37]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(5112, 210, F5, 3, 36) (dual of [(210, 3), 518, 37]-NRT-code) | [i] | ||