Information on Result #1755205
Digital (174, 199, 10928)-net over F2, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(2199, 10928, F2, 6, 25) (dual of [(10928, 6), 65369, 26]-NRT-code), using
- OOA 6-folding [i] based on linear OA(2199, 65568, F2, 25) (dual of [65568, 65369, 26]-code), using
- discarding factors / shortening the dual code based on linear OA(2199, 65569, F2, 25) (dual of [65569, 65370, 26]-code), using
- construction X applied to C([0,12]) ⊂ C([0,10]) [i] based on
- linear OA(2193, 65537, F2, 25) (dual of [65537, 65344, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 65537 | 232−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(2161, 65537, F2, 21) (dual of [65537, 65376, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 65537 | 232−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- linear OA(26, 32, F2, 3) (dual of [32, 26, 4]-code or 32-cap in PG(5,2)), using
- construction X applied to C([0,12]) ⊂ C([0,10]) [i] based on
- discarding factors / shortening the dual code based on linear OA(2199, 65569, F2, 25) (dual of [65569, 65370, 26]-code), using
Mode: Linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.