Information on Result #2432901
Linear OOA(3154, 108, F3, 2, 68) (dual of [(108, 2), 62, 69]-NRT-code), using strength reduction based on linear OOA(3154, 108, F3, 2, 69) (dual of [(108, 2), 62, 70]-NRT-code), using
- concatenation of two NRT-codes [i] based on
- linear OOA(941, 36, F9, 2, 34) (dual of [(36, 2), 31, 35]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,37P) [i] based on function field F/F9 with g(F) = 7 and N(F) ≥ 36, using
- linear OA(31, 3, F3, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- linear OOA(941, 36, F9, 2, 34) (dual of [(36, 2), 31, 35]-NRT-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n 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(3156, 109, F3, 2, 68) (dual of [(109, 2), 62, 69]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(3155, 108, F3, 2, 68) (dual of [(108, 2), 61, 69]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(3154, 54, F3, 4, 68) (dual of [(54, 4), 62, 69]-NRT-code) | [i] | OOA Folding | |