Information on Result #857774
Linear OOA(16102, 2065, F16, 2, 33) (dual of [(2065, 2), 4028, 34]-NRT-code), using OOA 2-folding based on linear OA(16102, 4130, F16, 33) (dual of [4130, 4028, 34]-code), using
- construction X applied to C([0,16]) ⊂ C([0,11]) [i] 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(1667, 4097, F16, 23) (dual of [4097, 4030, 24]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 166−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (BCH-bound) [i]
- linear OA(1611, 33, F16, 9) (dual of [33, 22, 10]-code), using
- extended algebraic-geometric code AGe(F,23P) [i] based on function field F/F16 with g(F) = 2 and N(F) ≥ 33, 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.