Information on Result #625553
Linear OA(4135, 156, F4, 57) (dual of [156, 21, 58]-code), using repeating each code word 2 times based on linear OA(457, 78, F4, 28) (dual of [78, 21, 29]-code), using
- discarding factors / shortening the dual code based on linear OA(457, 84, F4, 28) (dual of [84, 27, 29]-code), using
- construction X applied to C({1,3,5,7,9,10,11,13,22}) ⊂ C({1,3,5,7,9,11,13}) [i] based on
- linear OA(450, 65, F4, 30) (dual of [65, 15, 31]-code), using the cyclic code C(A) with length 65 | 46−1, defining set A = {1,3,5,7,9,10,11,13,22}, and minimum distance d ≥ |{−29,−27,−25,…,29}|+1 = 31 (BCH-bound) [i]
- linear OA(438, 65, F4, 22) (dual of [65, 27, 23]-code), using the cyclic code C(A) with length 65 | 46−1, defining set A = {1,3,5,7,9,11,13}, and minimum distance d ≥ |{−21,−19,−17,…,21}|+1 = 23 (BCH-bound) [i]
- linear OA(47, 19, F4, 5) (dual of [19, 12, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(47, 20, F4, 5) (dual of [20, 13, 6]-code), using
- construction X applied to C({1,3,5,7,9,10,11,13,22}) ⊂ C({1,3,5,7,9,11,13}) [i] based on
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
None.