Information on Result #700854
Linear OA(325, 126, F3, 8) (dual of [126, 101, 9]-code), using construction X applied to C({4,10,11,13,20}) ⊂ C({4,10,13,20}) based on
- linear OA(325, 121, F3, 8) (dual of [121, 96, 9]-code), using the cyclic code C(A) with length 121 | 35−1, defining set A = {4,10,11,13,20}, and minimum distance d ≥ |{−12,−4,4,…,44}|+1 = 9 (BCH-bound) [i]
- linear OA(320, 121, F3, 7) (dual of [121, 101, 8]-code), using the cyclic code C(A) with length 121 | 35−1, defining set A = {4,10,13,20}, and minimum distance d ≥ |{−12,−4,4,…,36}|+1 = 8 (BCH-bound) [i]
- linear OA(30, 5, F3, 0) (dual of [5, 5, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(30, s, F3, 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.
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 OOA(325, 63, F3, 2, 8) (dual of [(63, 2), 101, 9]-NRT-code) | [i] | OOA Folding | |