Information on Result #701127
Linear OA(423, 92, F4, 8) (dual of [92, 69, 9]-code), using construction X applied to C({5,7,9,13,34,37}) ⊂ C({5,7,9,13}) based on
- linear OA(422, 85, F4, 9) (dual of [85, 63, 10]-code), using the cyclic code C(A) with length 85 | 44−1, defining set A = {5,7,9,13,34,37}, and minimum distance d ≥ |{38,52,66,…,−20}|+1 = 10 (BCH-bound) [i]
- linear OA(416, 85, F4, 6) (dual of [85, 69, 7]-code), using the cyclic code C(A) with length 85 | 44−1, defining set A = {5,7,9,13}, and minimum distance d ≥ |{38,52,66,…,23}|+1 = 7 (BCH-bound) [i]
- linear OA(41, 7, F4, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, s, F4, 1) (dual of [s, s−1, 2]-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(423, 46, F4, 2, 8) (dual of [(46, 2), 69, 9]-NRT-code) | [i] | OOA Folding | |