Information on Result #683432
Linear OA(5115, 629, F5, 37) (dual of [629, 514, 38]-code), using construction X applied to Ce(36) ⊂ Ce(35) based on
- linear OA(5115, 625, F5, 37) (dual of [625, 510, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
- 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(50, 4, F5, 0) (dual of [4, 4, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(50, s, F5, 0) (dual of [s, s, 1]-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(5115, 629, F5, 2, 37) (dual of [(629, 2), 1143, 38]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(5115, 629, F5, 3, 37) (dual of [(629, 3), 1772, 38]-NRT-code) | [i] | ||
| 3 | Digital (78, 115, 629)-net over F5 | [i] | ||
| 4 | Linear OOA(5115, 314, F5, 2, 37) (dual of [(314, 2), 513, 38]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(5115, 209, F5, 3, 37) (dual of [(209, 3), 512, 38]-NRT-code) | [i] | ||