Information on Result #701580
Linear OA(875, 85, F8, 54) (dual of [85, 10, 55]-code), using construction X applied to C({1,2,4,5,6,7,9,11,12,13,14,17,18,21,25,26,33,34,35,36,42,43}) ⊂ C({1,2,4,5,6,7,9,11,12,13,14,17,18,21,25,26,33,34,35,36,42}) based on
- linear OA(866, 73, F8, 54) (dual of [73, 7, 55]-code), using the cyclic code C(A) with length 73 | 83−1, defining set A = {1,2,4,5,6,7,9,11,12,13,14,17,18,21,25,26,33,34,35,36,42,43}, and minimum distance d ≥ |{30,33,36,…,−30}|+1 = 55 (BCH-bound) [i]
- linear OA(863, 73, F8, 45) (dual of [73, 10, 46]-code), using the cyclic code C(A) with length 73 | 83−1, defining set A = {1,2,4,5,6,7,9,11,12,13,14,17,18,21,25,26,33,34,35,36,42}, and minimum distance d ≥ |{−19,−16,−13,…,−33}|+1 = 46 (BCH-bound) [i]
- linear OA(89, 12, F8, 8) (dual of [12, 3, 9]-code), using
- construction X applied to C1 ⊂ C0 [i] based on
- linear OA(88, 9, F8, 8) (dual of [9, 1, 9]-code or 9-arc in PG(7,8)), using code C1 for u = 2 by de Boer and Brouwer [i]
- linear OA(86, 9, F8, 6) (dual of [9, 3, 7]-code or 9-arc in PG(5,8)), using code C0 for u = 2 by de Boer and Brouwer [i]
- linear OA(81, 3, F8, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(81, s, F8, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to C1 ⊂ C0 [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.