Information on Result #682477
Linear OA(5131, 78150, F5, 23) (dual of [78150, 78019, 24]-code), using construction X applied to Ce(22) ⊂ Ce(18) based on
- linear OA(5127, 78125, F5, 23) (dual of [78125, 77998, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(5106, 78125, F5, 19) (dual of [78125, 78019, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(54, 25, F5, 3) (dual of [25, 21, 4]-code or 25-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(5131, 46052, F5, 2, 23) (dual of [(46052, 2), 91973, 24]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(5131, 46052, F5, 3, 23) (dual of [(46052, 3), 138025, 24]-NRT-code) | [i] | ||
| 3 | Digital (108, 131, 46052)-net over F5 | [i] | ||
| 4 | Linear OOA(5131, 39075, F5, 2, 23) (dual of [(39075, 2), 78019, 24]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(5131, 26050, F5, 3, 23) (dual of [(26050, 3), 78019, 24]-NRT-code) | [i] | ||
| 6 | Linear OOA(5131, 7104, F5, 23, 23) (dual of [(7104, 23), 163261, 24]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |