Information on Result #1719798
Digital (217, 244, 769202)-net over F4, using net defined by OOA based on linear OOA(4244, 769202, F4, 33, 27) (dual of [(769202, 33), 25383422, 28]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OOA(4244, 3846011, F4, 3, 27) (dual of [(3846011, 3), 11537789, 28]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4244, 3846014, F4, 3, 27) (dual of [(3846014, 3), 11537798, 28]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(4244, 3846014, F4, 2, 27) (dual of [(3846014, 2), 7691784, 28]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4244, 4194302, F4, 2, 27) (dual of [(4194302, 2), 8388360, 28]-NRT-code), using
- 41 times duplication [i] based on linear OOA(4243, 4194302, F4, 2, 27) (dual of [(4194302, 2), 8388361, 28]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(4241, 4194301, F4, 2, 27) (dual of [(4194301, 2), 8388361, 28]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4241, 8388602, F4, 27) (dual of [8388602, 8388361, 28]-code), using
- discarding factors / shortening the dual code based on linear OA(4241, large, F4, 27) (dual of [large, large−241, 28]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 424−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(4241, large, F4, 27) (dual of [large, large−241, 28]-code), using
- OOA 2-folding [i] based on linear OA(4241, 8388602, F4, 27) (dual of [8388602, 8388361, 28]-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(4241, 4194301, F4, 2, 27) (dual of [(4194301, 2), 8388361, 28]-NRT-code), using
- 41 times duplication [i] based on linear OOA(4243, 4194302, F4, 2, 27) (dual of [(4194302, 2), 8388361, 28]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4244, 4194302, F4, 2, 27) (dual of [(4194302, 2), 8388360, 28]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(4244, 3846014, F4, 2, 27) (dual of [(3846014, 2), 7691784, 28]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4244, 3846014, F4, 3, 27) (dual of [(3846014, 3), 11537798, 28]-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.