Information on Result #684111
Linear OA(520, 132, F5, 8) (dual of [132, 112, 9]-code), using construction X applied to Ce(7) ⊂ Ce(5) based on
- linear OA(519, 125, F5, 8) (dual of [125, 106, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(513, 125, F5, 6) (dual of [125, 112, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(51, 7, F5, 1) (dual of [7, 6, 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(520, 119, F5, 2, 8) (dual of [(119, 2), 218, 9]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(520, 119, F5, 3, 8) (dual of [(119, 3), 337, 9]-NRT-code) | [i] | ||
| 3 | Digital (12, 20, 119)-net over F5 | [i] | ||
| 4 | Linear OOA(520, 66, F5, 2, 8) (dual of [(66, 2), 112, 9]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(520, 44, F5, 3, 8) (dual of [(44, 3), 112, 9]-NRT-code) | [i] | ||