Information on Result #683035
Linear OA(575, 3144, F5, 18) (dual of [3144, 3069, 19]-code), using construction X applied to Ce(17) ⊂ Ce(13) based on
- linear OA(571, 3125, F5, 18) (dual of [3125, 3054, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(556, 3125, F5, 14) (dual of [3125, 3069, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [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(575, 2895, F5, 2, 18) (dual of [(2895, 2), 5715, 19]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(575, 2895, F5, 3, 18) (dual of [(2895, 3), 8610, 19]-NRT-code) | [i] | ||
| 3 | Digital (57, 75, 2895)-net over F5 | [i] | ||
| 4 | Linear OOA(575, 1572, F5, 2, 18) (dual of [(1572, 2), 3069, 19]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(575, 1048, F5, 3, 18) (dual of [(1048, 3), 3069, 19]-NRT-code) | [i] | ||
| 6 | Linear OOA(575, 349, F5, 18, 18) (dual of [(349, 18), 6207, 19]-NRT-code) | [i] | OA Folding and Stacking | |