Information on Result #700695
Linear OA(350, 85, F3, 21) (dual of [85, 35, 22]-code), using construction X applied to C({0,4,5,7,8,10,13,14,17,22,25,41,44,50}) ⊂ C({0,4,5,7,8,13,14,17,22,25,41,44}) based on
- linear OA(349, 80, F3, 21) (dual of [80, 31, 22]-code), using the primitive cyclic code C(A) with length 80 = 34−1, defining set A = {0,4,5,7,8,10,13,14,17,22,25,41,44,50}, and minimum distance d ≥ |{10,17,24,…,−10}|+1 = 22 (BCH-bound) [i]
- linear OA(345, 80, F3, 19) (dual of [80, 35, 20]-code), using the primitive cyclic code C(A) with length 80 = 34−1, defining set A = {0,4,5,7,8,13,14,17,22,25,41,44}, and minimum distance d ≥ |{17,24,31,…,−17}|+1 = 20 (BCH-bound) [i]
- linear OA(31, 5, F3, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 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
None.