Information on Result #862181
Linear OOA(2585, 7814, F25, 2, 30) (dual of [(7814, 2), 15543, 31]-NRT-code), using OOA 2-folding based on linear OA(2585, 15628, F25, 30) (dual of [15628, 15543, 31]-code), using
- construction X applied to Ce(29) ⊂ Ce(28) [i] based on
- linear OA(2585, 15625, F25, 30) (dual of [15625, 15540, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(2582, 15625, F25, 29) (dual of [15625, 15543, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(250, 3, F25, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(250, s, F25, 0) (dual of [s, s, 1]-code) for arbitrarily large s, 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(25100, 7840, F25, 2, 30) (dual of [(7840, 2), 15580, 31]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(25101, 7841, F25, 2, 30) (dual of [(7841, 2), 15581, 31]-NRT-code) | [i] | ||
| 3 | Linear OOA(25102, 7842, F25, 2, 30) (dual of [(7842, 2), 15582, 31]-NRT-code) | [i] | ||
| 4 | Linear OOA(25103, 7866, F25, 2, 30) (dual of [(7866, 2), 15629, 31]-NRT-code) | [i] | ||
| 5 | Linear OOA(25104, 7880, F25, 2, 30) (dual of [(7880, 2), 15656, 31]-NRT-code) | [i] | ||
| 6 | Linear OOA(25109, 7918, F25, 2, 30) (dual of [(7918, 2), 15727, 31]-NRT-code) | [i] | ||
| 7 | Linear OOA(25110, 7940, F25, 2, 30) (dual of [(7940, 2), 15770, 31]-NRT-code) | [i] | ||
| 8 | Digital (55, 85, 7814)-net over F25 | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |