Information on Result #701124
Linear OA(416, 89, F4, 6) (dual of [89, 73, 7]-code), using construction X applied to C({5,6,9,13}) ⊂ C({5,9,13}) based on
- 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 = {5,6,9,13}, and minimum distance d ≥ |{24,38,52,…,9}|+1 = 7 (BCH-bound) [i]
- linear OA(412, 85, F4, 5) (dual of [85, 73, 6]-code), using the cyclic code C(A) with length 85 | 44−1, defining set A = {5,9,13}, and minimum distance d ≥ |{38,52,66,80,9}|+1 = 6 (BCH-bound) [i]
- linear OA(40, 4, F4, 0) (dual of [4, 4, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(40, s, F4, 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(416, 44, F4, 2, 6) (dual of [(44, 2), 72, 7]-NRT-code) | [i] | OOA Folding | |