Information on Result #916142
Linear OOA(3210, 120, F3, 2, 125) (dual of [(120, 2), 30, 126]-NRT-code), using concatenation of two NRT-codes 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]
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(3210, 120, F3, 2, 124) (dual of [(120, 2), 30, 125]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3210, 120, F3, 2, 123) (dual of [(120, 2), 30, 124]-NRT-code) | [i] | ||
| 3 | Linear OOA(3212, 121, F3, 2, 125) (dual of [(121, 2), 30, 126]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 4 | Linear OOA(3214, 122, F3, 2, 125) (dual of [(122, 2), 30, 126]-NRT-code) | [i] | ||
| 5 | Linear OOA(3211, 120, F3, 2, 125) (dual of [(120, 2), 29, 126]-NRT-code) | [i] | OOA Duplication | |
| 6 | Linear OOA(3209, 119, F3, 2, 124) (dual of [(119, 2), 29, 125]-NRT-code) | [i] | Truncation for OOAs | |
| 7 | Linear OOA(3208, 119, F3, 2, 123) (dual of [(119, 2), 30, 124]-NRT-code) | [i] | ||
| 8 | Linear OOA(3207, 118, F3, 2, 122) (dual of [(118, 2), 29, 123]-NRT-code) | [i] | ||
| 9 | Linear OOA(3206, 118, F3, 2, 121) (dual of [(118, 2), 30, 122]-NRT-code) | [i] | ||
| 10 | Linear OOA(3205, 117, F3, 2, 120) (dual of [(117, 2), 29, 121]-NRT-code) | [i] | ||
| 11 | Linear OOA(3204, 117, F3, 2, 119) (dual of [(117, 2), 30, 120]-NRT-code) | [i] | ||
| 12 | Linear OOA(3203, 116, F3, 2, 118) (dual of [(116, 2), 29, 119]-NRT-code) | [i] | ||
| 13 | Linear OOA(3210, 60, F3, 4, 125) (dual of [(60, 4), 30, 126]-NRT-code) | [i] | OOA Folding | |