Information on Result #2435643
Linear OOA(3210, 120, F3, 2, 124) (dual of [(120, 2), 30, 125]-NRT-code), using strength reduction based on linear OOA(3210, 120, F3, 2, 125) (dual of [(120, 2), 30, 126]-NRT-code), using
- concatenation of two NRT-codes [i] based on
- linear OOA(945, 30, F9, 2, 41) (dual of [(30, 2), 15, 42]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,18P) [i] based on function field F/F9 with g(F) = 4 and N(F) ≥ 30, 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(945, 30, F9, 2, 41) (dual of [(30, 2), 15, 42]-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(3212, 121, F3, 2, 124) (dual of [(121, 2), 30, 125]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(3211, 120, F3, 2, 124) (dual of [(120, 2), 29, 125]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(3209, 119, F3, 2, 123) (dual of [(119, 2), 29, 124]-NRT-code) | [i] | Truncation for OOAs | |
| 4 | Linear OOA(3210, 60, F3, 4, 124) (dual of [(60, 4), 30, 125]-NRT-code) | [i] | OOA Folding | |