Information on Result #691914
Linear OA(1698, 4121, F16, 32) (dual of [4121, 4023, 33]-code), using construction X applied to C([0,16]) ⊂ C([0,12]) 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(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(167, 24, F16, 6) (dual of [24, 17, 7]-code), using
- extended algebraic-geometric code AGe(F,17P) [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.