Information on Result #915977
Linear OOA(392, 56, F3, 2, 53) (dual of [(56, 2), 20, 54]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(918, 14, F9, 2, 17) (dual of [(14, 2), 10, 18]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(918, 16, F9, 2, 17) (dual of [(16, 2), 14, 18]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,14P) [i] based on function field F/F9 with g(F) = 1 and N(F) ≥ 16, using
- discarding factors / shortening the dual code based on linear OOA(918, 16, F9, 2, 17) (dual of [(16, 2), 14, 18]-NRT-code), using
- linear OA(32, 4, F3, 2) (dual of [4, 2, 3]-code or 4-arc in PG(1,3)), using
- extended Reed–Solomon code RSe(2,3) [i]
- Hamming code H(2,3) [i]
- Simplex code S(2,3) [i]
- the Tetracode [i]
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(392, 56, F3, 2, 52) (dual of [(56, 2), 20, 53]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(393, 56, F3, 2, 53) (dual of [(56, 2), 19, 54]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(391, 55, F3, 2, 52) (dual of [(55, 2), 19, 53]-NRT-code) | [i] | Truncation for OOAs | |
| 4 | Linear OOA(390, 55, F3, 2, 51) (dual of [(55, 2), 20, 52]-NRT-code) | [i] | ||
| 5 | Linear OOA(389, 54, F3, 2, 50) (dual of [(54, 2), 19, 51]-NRT-code) | [i] | ||
| 6 | Linear OOA(387, 53, F3, 2, 48) (dual of [(53, 2), 19, 49]-NRT-code) | [i] | ||
| 7 | Linear OOA(392, 28, F3, 4, 53) (dual of [(28, 4), 20, 54]-NRT-code) | [i] | OOA Folding | |