Information on Result #1710822
Digital (174, 198, 6366)-net over F2, using net defined by OOA based on linear OOA(2198, 6366, F2, 30, 24) (dual of [(6366, 30), 190782, 25]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(2198, 12733, F2, 6, 24) (dual of [(12733, 6), 76200, 25]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2198, 12734, F2, 6, 24) (dual of [(12734, 6), 76206, 25]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2198, 12734, F2, 5, 24) (dual of [(12734, 5), 63472, 25]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2198, 13113, F2, 5, 24) (dual of [(13113, 5), 65367, 25]-NRT-code), using
- OOA 5-folding [i] based on linear OA(2198, 65565, F2, 24) (dual of [65565, 65367, 25]-code), using
- discarding factors / shortening the dual code based on linear OA(2198, 65568, F2, 24) (dual of [65568, 65370, 25]-code), using
- 1 times truncation [i] 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
- 1 times truncation [i] based on linear OA(2199, 65569, F2, 25) (dual of [65569, 65370, 26]-code), using
- discarding factors / shortening the dual code based on linear OA(2198, 65568, F2, 24) (dual of [65568, 65370, 25]-code), using
- OOA 5-folding [i] based on linear OA(2198, 65565, F2, 24) (dual of [65565, 65367, 25]-code), using
- discarding factors / shortening the dual code based on linear OOA(2198, 13113, F2, 5, 24) (dual of [(13113, 5), 65367, 25]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2198, 12734, F2, 5, 24) (dual of [(12734, 5), 63472, 25]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2198, 12734, F2, 6, 24) (dual of [(12734, 6), 76206, 25]-NRT-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.