Information on Result #1714338
Digital (190, 209, 2097206)-net over F3, using net defined by OOA based on linear OOA(3209, 2097206, F3, 25, 19) (dual of [(2097206, 25), 52429941, 20]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(3209, 4194413, F3, 5, 19) (dual of [(4194413, 5), 20971856, 20]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3209, 4194413, F3, 2, 19) (dual of [(4194413, 2), 8388617, 20]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(328, 112, F3, 2, 9) (dual of [(112, 2), 196, 10]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(328, 112, F3, 9) (dual of [112, 84, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(328, 125, F3, 9) (dual of [125, 97, 10]-code), using
- a “BZ†code from Brouwer’s database [i]
- discarding factors / shortening the dual code based on linear OA(328, 125, F3, 9) (dual of [125, 97, 10]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(328, 112, F3, 9) (dual of [112, 84, 10]-code), using
- linear OOA(3181, 4194301, F3, 2, 19) (dual of [(4194301, 2), 8388421, 20]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3181, 8388602, F3, 19) (dual of [8388602, 8388421, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(3181, large, F3, 19) (dual of [large, large−181, 20]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 14348908 | 330−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(3181, large, F3, 19) (dual of [large, large−181, 20]-code), using
- OOA 2-folding [i] based on linear OA(3181, 8388602, F3, 19) (dual of [8388602, 8388421, 20]-code), using
- linear OOA(328, 112, F3, 2, 9) (dual of [(112, 2), 196, 10]-NRT-code), using
- (u, u+v)-construction [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3209, 4194413, F3, 2, 19) (dual of [(4194413, 2), 8388617, 20]-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.