Information on Result #700872
Linear OA(363, 125, F3, 21) (dual of [125, 62, 22]-code), using construction X applied to C({1,4,7,8,10,13,16,19,20,22,25,26}) ⊂ C({1,7,8,10,13,16,19,22,25,26}) based on
- linear OA(360, 121, F3, 21) (dual of [121, 61, 22]-code), using the cyclic code C(A) with length 121 | 35−1, defining set A = {1,4,7,8,10,13,16,19,20,22,25,26}, and minimum distance d ≥ |{10,30,50,…,47}|+1 = 22 (BCH-bound) [i]
- linear OA(350, 121, F3, 17) (dual of [121, 71, 18]-code), using the cyclic code C(A) with length 121 | 35−1, defining set A = {1,7,8,10,13,16,19,22,25,26}, and minimum distance d ≥ |{10,30,50,…,−33}|+1 = 18 (BCH-bound) [i]
- linear OA(33, 4, F3, 3) (dual of [4, 1, 4]-code or 4-arc in PG(2,3) or 4-cap in PG(2,3)), using
- dual of repetition code with length 4 [i]
- oval in PG(2, 3) [i]
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.