Information on Result #691921
Linear OA(1679, 4121, F16, 25) (dual of [4121, 4042, 26]-code), using construction X applied to C([0,12]) ⊂ C([0,9]) based on
- linear OA(1673, 4097, F16, 25) (dual of [4097, 4024, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 166−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(1655, 4097, F16, 19) (dual of [4097, 4042, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 166−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- linear OA(166, 24, F16, 5) (dual of [24, 18, 6]-code), using
- extended algebraic-geometric code AGe(F,18P) [i] based on function field F/F16 with g(F) = 1 and N(F) ≥ 24, using
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.