Information on Result #628863
Linear OA(974, 13124, F9, 19) (dual of [13124, 13050, 20]-code), using trace code based on linear OA(8137, 6562, F81, 19) (dual of [6562, 6525, 20]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 6562 | 814−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [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(974, 11223, F9, 2, 19) (dual of [(11223, 2), 22372, 20]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
2 | Linear OOA(974, 11223, F9, 3, 19) (dual of [(11223, 3), 33595, 20]-NRT-code) | [i] | ||
3 | Digital (55, 74, 11223)-net over F9 | [i] | ||
4 | Linear OOA(974, 1458, F9, 19, 19) (dual of [(1458, 19), 27628, 20]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row |