Information on Result #683021
Linear OA(5145, 3144, F5, 36) (dual of [3144, 2999, 37]-code), using construction X applied to Ce(35) ⊂ Ce(31) based on
- linear OA(5141, 3125, F5, 36) (dual of [3125, 2984, 37]-code), using an extension Ce(35) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,35], and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(5126, 3125, F5, 32) (dual of [3125, 2999, 33]-code), using an extension Ce(31) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,31], and designed minimum distance d ≥ |I|+1 = 32 [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 OA(5144, 3143, F5, 35) (dual of [3143, 2999, 36]-code) | [i] | Truncation | |
| 2 | Linear OOA(5145, 3065, F5, 2, 36) (dual of [(3065, 2), 5985, 37]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(5145, 3065, F5, 3, 36) (dual of [(3065, 3), 9050, 37]-NRT-code) | [i] | ||
| 4 | Digital (109, 145, 3065)-net over F5 | [i] | ||
| 5 | Linear OOA(5145, 1572, F5, 2, 36) (dual of [(1572, 2), 2999, 37]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(5145, 1048, F5, 3, 36) (dual of [(1048, 3), 2999, 37]-NRT-code) | [i] | ||