Information on Result #692571
Linear OA(16120, 274, F16, 63) (dual of [274, 154, 64]-code), using construction X applied to C([0,34]) ⊂ C([0,27]) based on
- 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(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(167, 17, F16, 7) (dual of [17, 10, 8]-code or 17-arc in PG(6,16)), using
- extended Reed–Solomon code RSe(10,16) [i]
- the expurgated narrow-sense BCH-code C(I) with length 17 | 162−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [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.