Information on Result #616486
Linear OA(16107, 4114, F16, 33) (dual of [4114, 4007, 34]-code), using construction X applied to C([0,16]) ⊂ C([1,16]) based on
- linear OA(1691, 4097, F16, 33) (dual of [4097, 4006, 34]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 166−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (BCH-bound) [i]
- linear OA(1690, 4097, F16, 16) (dual of [4097, 4007, 17]-code), using the narrow-sense BCH-code C(I) with length 4097 | 166−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [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.