Information on Result #1712162
Digital (216, 252, 1091)-net over F2, using net defined by OOA based on linear OOA(2252, 1091, F2, 42, 36) (dual of [(1091, 42), 45570, 37]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(2252, 3274, F2, 6, 36) (dual of [(3274, 6), 19392, 37]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2252, 3276, F2, 6, 36) (dual of [(3276, 6), 19404, 37]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2252, 3276, F2, 5, 36) (dual of [(3276, 5), 16128, 37]-NRT-code), using
- OOA 5-folding [i] based on linear OA(2252, 16380, F2, 36) (dual of [16380, 16128, 37]-code), using
- discarding factors / shortening the dual code based on linear OA(2252, 16384, F2, 36) (dual of [16384, 16132, 37]-code), using
- 1 times truncation [i] based on linear OA(2253, 16385, F2, 37) (dual of [16385, 16132, 38]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16385 | 228−1, defining interval I = [0,18], and minimum distance d ≥ |{−18,−17,…,18}|+1 = 38 (BCH-bound) [i]
- 1 times truncation [i] based on linear OA(2253, 16385, F2, 37) (dual of [16385, 16132, 38]-code), using
- discarding factors / shortening the dual code based on linear OA(2252, 16384, F2, 36) (dual of [16384, 16132, 37]-code), using
- OOA 5-folding [i] based on linear OA(2252, 16380, F2, 36) (dual of [16380, 16128, 37]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2252, 3276, F2, 5, 36) (dual of [(3276, 5), 16128, 37]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2252, 3276, F2, 6, 36) (dual of [(3276, 6), 19404, 37]-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.