Information on Result #616505
Linear OA(16113, 4114, F16, 35) (dual of [4114, 4001, 36]-code), using construction X applied to C([0,17]) ⊂ C([1,17]) based on
- linear OA(1697, 4097, F16, 35) (dual of [4097, 4000, 36]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 166−1, defining interval I = [0,17], and minimum distance d ≥ |{−17,−16,…,17}|+1 = 36 (BCH-bound) [i]
- linear OA(1696, 4097, F16, 18) (dual of [4097, 4001, 19]-code), using the narrow-sense BCH-code C(I) with length 4097 | 166−1, defining interval I = [1,17], and minimum distance d ≥ |{−17,−15,−13,…,17}|+1 = 19 (BCH-bound) [i]
- linear OA(1616, 17, F16, 16) (dual of [17, 1, 17]-code or 17-arc in PG(15,16)), using
- dual of repetition code with length 17 [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.