Information on Result #2465762
Linear OOA(3165, 98, F3, 2, 92) (dual of [(98, 2), 31, 93]-NRT-code), using 3 step truncation based on linear OOA(3168, 100, F3, 2, 95) (dual of [(100, 2), 32, 96]-NRT-code), using
- concatenation of two NRT-codes [i] based on
- linear OOA(934, 25, F9, 2, 31) (dual of [(25, 2), 16, 32]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(934, 28, F9, 2, 31) (dual of [(28, 2), 22, 32]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,24P) [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using
- the Hermitian function field over F9 [i]
- extended algebraic-geometric NRT-code AGe(2;F,24P) [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using
- discarding factors / shortening the dual code based on linear OOA(934, 28, F9, 2, 31) (dual of [(28, 2), 22, 32]-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]
- linear OOA(934, 25, F9, 2, 31) (dual of [(25, 2), 16, 32]-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(3165, 49, F3, 4, 92) (dual of [(49, 4), 31, 93]-NRT-code) | [i] | OOA Folding | |