Information on Result #682303
Linear OA(5117, 390651, F5, 18) (dual of [390651, 390534, 19]-code), using construction X applied to Ce(17) ⊂ Ce(13) based on
- linear OA(5113, 390625, F5, 18) (dual of [390625, 390512, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 390624 = 58−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(589, 390625, F5, 14) (dual of [390625, 390536, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 390624 = 58−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(54, 26, F5, 3) (dual of [26, 22, 4]-code or 26-cap in PG(3,5)), 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(5117, 198604, F5, 2, 18) (dual of [(198604, 2), 397091, 19]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(5117, 198604, F5, 3, 18) (dual of [(198604, 3), 595695, 19]-NRT-code) | [i] | ||
| 3 | Digital (99, 117, 198604)-net over F5 | [i] | ||
| 4 | Linear OOA(5117, 195325, F5, 2, 18) (dual of [(195325, 2), 390533, 19]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(5117, 130217, F5, 3, 18) (dual of [(130217, 3), 390534, 19]-NRT-code) | [i] | ||