Information on Result #2247798
Linear OA(724, 2400, F7, 7) (dual of [2400, 2376, 8]-code), using 1 times truncation based on linear OA(725, 2401, F7, 8) (dual of [2401, 2376, 9]-code), using
- an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 2400 = 74−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
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(724, 2400, F7, 2, 7) (dual of [(2400, 2), 4776, 8]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(724, 2400, F7, 3, 7) (dual of [(2400, 3), 7176, 8]-NRT-code) | [i] | ||
| 3 | Digital (17, 24, 2400)-net over F7 | [i] | ||
| 4 | Linear OA(725, 2436, F7, 7) (dual of [2436, 2411, 8]-code) | [i] | Varšamov–Edel Lengthening | |
| 5 | Linear OOA(724, 1200, F7, 2, 7) (dual of [(1200, 2), 2376, 8]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(724, 800, F7, 3, 7) (dual of [(800, 3), 2376, 8]-NRT-code) | [i] | ||
| 7 | Linear OOA(724, 799, F7, 7, 7) (dual of [(799, 7), 5569, 8]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |