Information on Result #737483
Linear OA(5146, 390669, F5, 22) (dual of [390669, 390523, 23]-code), using construction X applied to Ce(21) ⊂ Ce(15) based on
- linear OA(5137, 390625, F5, 22) (dual of [390625, 390488, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 390624 = 58−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(597, 390625, F5, 16) (dual of [390625, 390528, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 390624 = 58−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(59, 44, F5, 5) (dual of [44, 35, 6]-code), 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(5146, 242523, F5, 2, 22) (dual of [(242523, 2), 484900, 23]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(5146, 242523, F5, 3, 22) (dual of [(242523, 3), 727423, 23]-NRT-code) | [i] | ||
| 3 | Digital (124, 146, 242523)-net over F5 | [i] | ||
| 4 | Linear OOA(5146, 130223, F5, 3, 22) (dual of [(130223, 3), 390523, 23]-NRT-code) | [i] | OOA Folding | |