Information on Result #1712142
Digital (198, 234, 682)-net over F2, using net defined by OOA based on linear OOA(2234, 682, F2, 42, 36) (dual of [(682, 42), 28410, 37]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(2234, 2047, F2, 6, 36) (dual of [(2047, 6), 12048, 37]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2234, 2048, F2, 6, 36) (dual of [(2048, 6), 12054, 37]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2234, 2048, F2, 4, 36) (dual of [(2048, 4), 7958, 37]-NRT-code), using
- OOA 4-folding [i] based on linear OA(2234, 8192, F2, 36) (dual of [8192, 7958, 37]-code), using
- 1 times truncation [i] based on linear OA(2235, 8193, F2, 37) (dual of [8193, 7958, 38]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 8193 | 226−1, 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(2235, 8193, F2, 37) (dual of [8193, 7958, 38]-code), using
- OOA 4-folding [i] based on linear OA(2234, 8192, F2, 36) (dual of [8192, 7958, 37]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2234, 2048, F2, 4, 36) (dual of [(2048, 4), 7958, 37]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2234, 2048, F2, 6, 36) (dual of [(2048, 6), 12054, 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.