Information on Result #1714050
Digital (138, 156, 247536)-net over F3, using net defined by OOA based on linear OOA(3156, 247536, F3, 25, 18) (dual of [(247536, 25), 6188244, 19]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(3156, 495073, F3, 5, 18) (dual of [(495073, 5), 2475209, 19]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3156, 495074, F3, 5, 18) (dual of [(495074, 5), 2475214, 19]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3156, 495074, F3, 3, 18) (dual of [(495074, 3), 1485066, 19]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3156, 531441, F3, 3, 18) (dual of [(531441, 3), 1594167, 19]-NRT-code), using
- OOA 3-folding [i] based on linear OA(3156, 1594323, F3, 18) (dual of [1594323, 1594167, 19]-code), using
- 1 times truncation [i] based on linear OA(3157, 1594324, F3, 19) (dual of [1594324, 1594167, 20]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 1594324 | 326−1, 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(3157, 1594324, F3, 19) (dual of [1594324, 1594167, 20]-code), using
- OOA 3-folding [i] based on linear OA(3156, 1594323, F3, 18) (dual of [1594323, 1594167, 19]-code), using
- discarding factors / shortening the dual code based on linear OOA(3156, 531441, F3, 3, 18) (dual of [(531441, 3), 1594167, 19]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3156, 495074, F3, 3, 18) (dual of [(495074, 3), 1485066, 19]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3156, 495074, F3, 5, 18) (dual of [(495074, 5), 2475214, 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.