Information on Result #682705
Linear OA(541, 15647, F5, 8) (dual of [15647, 15606, 9]-code), using construction X applied to Ce(7) ⊂ Ce(3) based on
- linear OA(537, 15625, F5, 8) (dual of [15625, 15588, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(519, 15625, F5, 4) (dual of [15625, 15606, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(54, 22, F5, 3) (dual of [22, 18, 4]-code or 22-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(541, 15647, F5, 2, 8) (dual of [(15647, 2), 31253, 9]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(541, 15647, F5, 3, 8) (dual of [(15647, 3), 46900, 9]-NRT-code) | [i] | ||
| 3 | Digital (33, 41, 15647)-net over F5 | [i] | ||
| 4 | Linear OOA(541, 7823, F5, 2, 8) (dual of [(7823, 2), 15605, 9]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(541, 5215, F5, 3, 8) (dual of [(5215, 3), 15604, 9]-NRT-code) | [i] | ||
| 6 | Linear OOA(541, 3911, F5, 8, 8) (dual of [(3911, 8), 31247, 9]-NRT-code) | [i] | OA Folding and Stacking | |