Information on Result #683517
Linear OA(587, 639, F5, 27) (dual of [639, 552, 28]-code), using construction X applied to Ce(26) ⊂ Ce(22) based on
- linear OA(583, 625, F5, 27) (dual of [625, 542, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(573, 625, F5, 23) (dual of [625, 552, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(54, 14, F5, 3) (dual of [14, 10, 4]-code or 14-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(587, 629, F5, 2, 27) (dual of [(629, 2), 1171, 28]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(587, 629, F5, 3, 27) (dual of [(629, 3), 1800, 28]-NRT-code) | [i] | ||
| 3 | Digital (60, 87, 629)-net over F5 | [i] | ||
| 4 | Linear OOA(587, 319, F5, 2, 27) (dual of [(319, 2), 551, 28]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(587, 213, F5, 3, 27) (dual of [(213, 3), 552, 28]-NRT-code) | [i] | ||