Information on Result #1713950
Digital (78, 96, 1561)-net over F3, using net defined by OOA based on linear OOA(396, 1561, F3, 25, 18) (dual of [(1561, 25), 38929, 19]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(396, 3123, F3, 5, 18) (dual of [(3123, 5), 15519, 19]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(396, 3124, F3, 5, 18) (dual of [(3124, 5), 15524, 19]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(396, 3124, F3, 2, 18) (dual of [(3124, 2), 6152, 19]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(396, 3280, F3, 2, 18) (dual of [(3280, 2), 6464, 19]-NRT-code), using
- OOA 2-folding [i] based on linear OA(396, 6560, F3, 18) (dual of [6560, 6464, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(396, 6561, F3, 18) (dual of [6561, 6465, 19]-code), using
- 1 times truncation [i] based on linear OA(397, 6562, F3, 19) (dual of [6562, 6465, 20]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 6562 | 316−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- 1 times truncation [i] based on linear OA(397, 6562, F3, 19) (dual of [6562, 6465, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(396, 6561, F3, 18) (dual of [6561, 6465, 19]-code), using
- OOA 2-folding [i] based on linear OA(396, 6560, F3, 18) (dual of [6560, 6464, 19]-code), using
- discarding factors / shortening the dual code based on linear OOA(396, 3280, F3, 2, 18) (dual of [(3280, 2), 6464, 19]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(396, 3124, F3, 2, 18) (dual of [(3124, 2), 6152, 19]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(396, 3124, F3, 5, 18) (dual of [(3124, 5), 15524, 19]-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.