Information on Result #1323792
Linear OA(5147, 78187, F5, 24) (dual of [78187, 78040, 25]-code), using construction X applied to Ce(23) ⊂ Ce(15) based on
- linear OA(5134, 78125, F5, 24) (dual of [78125, 77991, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(585, 78125, F5, 16) (dual of [78125, 78040, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(513, 62, F5, 7) (dual of [62, 49, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(513, 63, F5, 7) (dual of [63, 50, 8]-code), using
- a “GraCyc†code from Grassl’s database [i]
- discarding factors / shortening the dual code based on linear OA(513, 63, F5, 7) (dual of [63, 50, 8]-code), using
Mode: 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(5147, 78187, F5, 2, 24) (dual of [(78187, 2), 156227, 25]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(5147, 78187, F5, 3, 24) (dual of [(78187, 3), 234414, 25]-NRT-code) | [i] | ||
| 3 | Digital (123, 147, 78187)-net over F5 | [i] | ||
| 4 | Linear OA(5148, 78189, F5, 24) (dual of [78189, 78041, 25]-code) | [i] | Construction X with Varšamov Bound | |
| 5 | Linear OOA(5147, 39093, F5, 2, 24) (dual of [(39093, 2), 78039, 25]-NRT-code) | [i] | OOA Folding | |