Information on Result #2246245
Linear OA(596, 123, F5, 60) (dual of [123, 27, 61]-code), using 3 times truncation based on linear OA(599, 126, F5, 63) (dual of [126, 27, 64]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 126 | 56−1, defining interval I = [0,31], and minimum distance d ≥ |{−31,−30,…,31}|+1 = 64 (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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(5106, 136, F5, 60) (dual of [136, 30, 61]-code) | [i] | Varšamov–Edel Lengthening | |
| 2 | Linear OA(5107, 138, F5, 60) (dual of [138, 31, 61]-code) | [i] | ||
| 3 | Linear OA(5108, 140, F5, 60) (dual of [140, 32, 61]-code) | [i] | ||
| 4 | Linear OA(5109, 143, F5, 60) (dual of [143, 34, 61]-code) | [i] | ||
| 5 | Linear OA(5110, 146, F5, 60) (dual of [146, 36, 61]-code) | [i] | ||
| 6 | Linear OA(5111, 149, F5, 60) (dual of [149, 38, 61]-code) | [i] | ||
| 7 | Linear OA(5103, 131, F5, 60) (dual of [131, 28, 61]-code) | [i] | Construction X with Varšamov Bound | |
| 8 | Linear OA(5105, 134, F5, 60) (dual of [134, 29, 61]-code) | [i] | ||
| 9 | Linear OA(5107, 137, F5, 60) (dual of [137, 30, 61]-code) | [i] | ||
| 10 | Linear OOA(596, 61, F5, 2, 60) (dual of [(61, 2), 26, 61]-NRT-code) | [i] | OOA Folding | |
| 11 | Linear OOA(596, 41, F5, 3, 60) (dual of [(41, 3), 27, 61]-NRT-code) | [i] | ||