Information on Result #701121
Linear OA(419, 88, F4, 7) (dual of [88, 69, 8]-code), using construction X applied to C({1,3,7,10,34}) ⊂ C({1,3,7,10}) based on
- linear OA(418, 85, F4, 7) (dual of [85, 67, 8]-code), using the cyclic code C(A) with length 85 | 44−1, defining set A = {1,3,7,10,34}, and minimum distance d ≥ |{4,10,16,…,40}|+1 = 8 (BCH-bound) [i]
- linear OA(416, 85, F4, 5) (dual of [85, 69, 6]-code), using the cyclic code C(A) with length 85 | 44−1, defining set A = {1,3,7,10}, and minimum distance d ≥ |{4,10,16,22,28}|+1 = 6 (BCH-bound) [i]
- linear OA(41, 3, F4, 1) (dual of [3, 2, 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(419, 44, F4, 2, 7) (dual of [(44, 2), 69, 8]-NRT-code) | [i] | OOA Folding | |