Information on Result #682690
Linear OA(5113, 15647, F5, 23) (dual of [15647, 15534, 24]-code), using construction X applied to Ce(22) ⊂ Ce(18) based on
- linear OA(5109, 15625, F5, 23) (dual of [15625, 15516, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(591, 15625, F5, 19) (dual of [15625, 15534, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [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(5113, 11580, F5, 2, 23) (dual of [(11580, 2), 23047, 24]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(5113, 11580, F5, 3, 23) (dual of [(11580, 3), 34627, 24]-NRT-code) | [i] | ||
| 3 | Digital (90, 113, 11580)-net over F5 | [i] | ||
| 4 | Linear OOA(5113, 7823, F5, 2, 23) (dual of [(7823, 2), 15533, 24]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(5113, 5215, F5, 3, 23) (dual of [(5215, 3), 15532, 24]-NRT-code) | [i] | ||
| 6 | Linear OOA(5113, 1422, F5, 23, 23) (dual of [(1422, 23), 32593, 24]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |