Information on Result #915980
Linear OOA(398, 60, F3, 2, 56) (dual of [(60, 2), 22, 57]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(919, 15, F9, 2, 18) (dual of [(15, 2), 11, 19]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(919, 16, F9, 2, 18) (dual of [(16, 2), 13, 19]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,13P) [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(919, 16, F9, 2, 18) (dual of [(16, 2), 13, 19]-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(399, 60, F3, 2, 56) (dual of [(60, 2), 21, 57]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(397, 59, F3, 2, 55) (dual of [(59, 2), 21, 56]-NRT-code) | [i] | Truncation for OOAs | |
| 3 | Linear OOA(396, 59, F3, 2, 54) (dual of [(59, 2), 22, 55]-NRT-code) | [i] | ||
| 4 | Linear OOA(395, 58, F3, 2, 53) (dual of [(58, 2), 21, 54]-NRT-code) | [i] | ||
| 5 | Linear OOA(394, 58, F3, 2, 52) (dual of [(58, 2), 22, 53]-NRT-code) | [i] | ||
| 6 | Linear OOA(398, 30, F3, 4, 56) (dual of [(30, 4), 22, 57]-NRT-code) | [i] | OOA Folding | |