Information on Result #682724
Linear OA(5101, 15651, F5, 20) (dual of [15651, 15550, 21]-code), using construction X applied to Ce(20) ⊂ Ce(15) based on
- linear OA(597, 15625, F5, 21) (dual of [15625, 15528, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(573, 15625, F5, 16) (dual of [15625, 15552, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(54, 26, F5, 3) (dual of [26, 22, 4]-code or 26-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(5101, 14417, F5, 2, 20) (dual of [(14417, 2), 28733, 21]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(5101, 14417, F5, 3, 20) (dual of [(14417, 3), 43150, 21]-NRT-code) | [i] | ||
| 3 | Digital (81, 101, 14417)-net over F5 | [i] | ||
| 4 | Linear OOA(5101, 7825, F5, 2, 20) (dual of [(7825, 2), 15549, 21]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(5101, 5217, F5, 3, 20) (dual of [(5217, 3), 15550, 21]-NRT-code) | [i] | ||
| 6 | Linear OOA(5101, 1565, F5, 20, 20) (dual of [(1565, 20), 31199, 21]-NRT-code) | [i] | OA Folding and Stacking | |