Information on Result #692605
Linear OA(16115, 276, F16, 58) (dual of [276, 161, 59]-code), using construction XX applied to C([0,29]) ⊂ C([0,26]) ⊂ C([0,25]) based on
- linear OA(16109, 257, F16, 59) (dual of [257, 148, 60]-code), using the expurgated narrow-sense BCH-code C(I) with length 257 | 164−1, defining interval I = [0,29], and minimum distance d ≥ |{−29,−28,…,29}|+1 = 60 (BCH-bound) [i]
- linear OA(1697, 257, F16, 53) (dual of [257, 160, 54]-code), using the expurgated narrow-sense BCH-code C(I) with length 257 | 164−1, defining interval I = [0,26], and minimum distance d ≥ |{−26,−25,…,26}|+1 = 54 (BCH-bound) [i]
- linear OA(1693, 257, F16, 51) (dual of [257, 164, 52]-code), using the expurgated narrow-sense BCH-code C(I) with length 257 | 164−1, defining interval I = [0,25], and minimum distance d ≥ |{−25,−24,…,25}|+1 = 52 (BCH-bound) [i]
- linear OA(164, 17, F16, 4) (dual of [17, 13, 5]-code or 17-arc in PG(3,16)), using
- extended Reed–Solomon code RSe(13,16) [i]
- linear OA(161, 2, F16, 1) (dual of [2, 1, 2]-code), using
- dual of repetition code with length 2 [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.
Other Results with Identical Parameters
None.
Depending Results
None.