Information on Result #692607
Linear OA(16107, 276, F16, 54) (dual of [276, 169, 55]-code), using construction XX applied to C([0,27]) ⊂ C([0,24]) ⊂ C([0,23]) based on
- linear OA(16101, 257, F16, 55) (dual of [257, 156, 56]-code), using the expurgated narrow-sense BCH-code C(I) with length 257 | 164−1, defining interval I = [0,27], and minimum distance d ≥ |{−27,−26,…,27}|+1 = 56 (BCH-bound) [i]
- linear OA(1689, 257, F16, 49) (dual of [257, 168, 50]-code), using the expurgated narrow-sense BCH-code C(I) with length 257 | 164−1, defining interval I = [0,24], and minimum distance d ≥ |{−24,−23,…,24}|+1 = 50 (BCH-bound) [i]
- linear OA(1685, 257, F16, 47) (dual of [257, 172, 48]-code), using the expurgated narrow-sense BCH-code C(I) with length 257 | 164−1, defining interval I = [0,23], and minimum distance d ≥ |{−23,−22,…,23}|+1 = 48 (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.