Information on Result #2255032
Linear OA(16114, 258, F16, 67) (dual of [258, 144, 68]-code), using 4 times truncation based on linear OA(16118, 262, F16, 71) (dual of [262, 144, 72]-code), using
- construction X applied to C([0,35]) ⊂ C([0,34]) [i] based on
- linear OA(16117, 257, F16, 71) (dual of [257, 140, 72]-code), using the expurgated narrow-sense BCH-code C(I) with length 257 | 164−1, defining interval I = [0,35], and minimum distance d ≥ |{−35,−34,…,35}|+1 = 72 (BCH-bound) [i]
- linear OA(16113, 257, F16, 69) (dual of [257, 144, 70]-code), using the expurgated narrow-sense BCH-code C(I) with length 257 | 164−1, defining interval I = [0,34], and minimum distance d ≥ |{−34,−33,…,34}|+1 = 70 (BCH-bound) [i]
- linear OA(161, 5, F16, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(161, s, F16, 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.
Other Results with Identical Parameters
None.
Depending Results
None.