Information on Result #683031
Linear OA(595, 3144, F5, 23) (dual of [3144, 3049, 24]-code), using construction X applied to Ce(22) ⊂ Ce(18) based on
- linear OA(591, 3125, F5, 23) (dual of [3125, 3034, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(576, 3125, F5, 19) (dual of [3125, 3049, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(54, 19, F5, 3) (dual of [19, 15, 4]-code or 19-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(595, 2904, F5, 2, 23) (dual of [(2904, 2), 5713, 24]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(595, 2904, F5, 3, 23) (dual of [(2904, 3), 8617, 24]-NRT-code) | [i] | ||
| 3 | Digital (72, 95, 2904)-net over F5 | [i] | ||
| 4 | Linear OOA(595, 1572, F5, 2, 23) (dual of [(1572, 2), 3049, 24]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(595, 1048, F5, 3, 23) (dual of [(1048, 3), 3049, 24]-NRT-code) | [i] | ||