Information on Result #682688
Linear OA(5125, 15647, F5, 26) (dual of [15647, 15522, 27]-code), using construction X applied to Ce(25) ⊂ Ce(21) based on
- linear OA(5121, 15625, F5, 26) (dual of [15625, 15504, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(5103, 15625, F5, 22) (dual of [15625, 15522, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [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 OA(5124, 15646, F5, 25) (dual of [15646, 15522, 26]-code) | [i] | Truncation | |
| 2 | Linear OOA(5125, 9998, F5, 2, 26) (dual of [(9998, 2), 19871, 27]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(5125, 9998, F5, 3, 26) (dual of [(9998, 3), 29869, 27]-NRT-code) | [i] | ||
| 4 | Digital (99, 125, 9998)-net over F5 | [i] | ||
| 5 | Linear OOA(5125, 7823, F5, 2, 26) (dual of [(7823, 2), 15521, 27]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(5125, 5215, F5, 3, 26) (dual of [(5215, 3), 15520, 27]-NRT-code) | [i] | ||