Information on Result #1235158
Linear OOA(3164, 6710880, F3, 5, 11) (dual of [(6710880, 5), 33554236, 12]-NRT-code), using extracting embedded OOA based on digital (153, 164, 6710880)-net over F3, using
- trace code for nets [i] based on digital (30, 41, 1677720)-net over F81, using
- net defined by OOA [i] based on linear OOA(8141, 1677720, F81, 11, 11) (dual of [(1677720, 11), 18454879, 12]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OA(8141, 8388601, F81, 11) (dual of [8388601, 8388560, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(8141, large, F81, 11) (dual of [large, large−41, 12]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523361 | 818−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(8141, large, F81, 11) (dual of [large, large−41, 12]-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OA(8141, 8388601, F81, 11) (dual of [8388601, 8388560, 12]-code), using
- net defined by OOA [i] based on linear OOA(8141, 1677720, F81, 11, 11) (dual of [(1677720, 11), 18454879, 12]-NRT-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(3165, 6710880, F3, 5, 11) (dual of [(6710880, 5), 33554235, 12]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(3166, 6710880, F3, 5, 11) (dual of [(6710880, 5), 33554234, 12]-NRT-code) | [i] | ||
| 3 | Linear OOA(3167, 6710880, F3, 5, 11) (dual of [(6710880, 5), 33554233, 12]-NRT-code) | [i] | ||
| 4 | Linear OOA(3168, 6710880, F3, 5, 11) (dual of [(6710880, 5), 33554232, 12]-NRT-code) | [i] | ||