Information on Result #683024
Linear OA(5130, 3144, F5, 32) (dual of [3144, 3014, 33]-code), using construction X applied to Ce(31) ⊂ Ce(27) based on
- 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(5111, 3125, F5, 28) (dual of [3125, 3014, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [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(5130, 3029, F5, 2, 32) (dual of [(3029, 2), 5928, 33]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(5130, 3029, F5, 3, 32) (dual of [(3029, 3), 8957, 33]-NRT-code) | [i] | ||
| 3 | Digital (98, 130, 3029)-net over F5 | [i] | ||
| 4 | Linear OOA(5130, 1572, F5, 2, 32) (dual of [(1572, 2), 3014, 33]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(5130, 1048, F5, 3, 32) (dual of [(1048, 3), 3014, 33]-NRT-code) | [i] | ||