Information on Result #683028
Linear OA(5110, 3144, F5, 27) (dual of [3144, 3034, 28]-code), using construction X applied to Ce(26) ⊂ Ce(22) based on
- linear OA(5106, 3125, F5, 27) (dual of [3125, 3019, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- 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(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(5110, 2821, F5, 2, 27) (dual of [(2821, 2), 5532, 28]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(5110, 2821, F5, 3, 27) (dual of [(2821, 3), 8353, 28]-NRT-code) | [i] | ||
| 3 | Digital (83, 110, 2821)-net over F5 | [i] | ||
| 4 | Linear OOA(5110, 1572, F5, 2, 27) (dual of [(1572, 2), 3034, 28]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(5110, 1048, F5, 3, 27) (dual of [(1048, 3), 3034, 28]-NRT-code) | [i] | ||