Information on Result #1453611
Linear OOA(1668, 4008, F16, 2, 23) (dual of [(4008, 2), 7948, 24]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(1668, 4008, F16, 23) (dual of [4008, 3940, 24]-code), using
- discarding factors / shortening the dual code based on linear OA(1668, 4104, F16, 23) (dual of [4104, 4036, 24]-code), using
- construction X applied to C([0,11]) ⊂ C([0,10]) [i] based on
- 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(1661, 4097, F16, 21) (dual of [4097, 4036, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 166−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- linear OA(161, 7, F16, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(161, s, F16, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to C([0,11]) ⊂ C([0,10]) [i] based on
Mode: 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.