Information on Result #916158
Linear OOA(3222, 128, F3, 2, 128) (dual of [(128, 2), 34, 129]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(947, 32, F9, 2, 42) (dual of [(32, 2), 17, 43]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,21P) [i] based on function field F/F9 with g(F) = 5 and N(F) ≥ 32, 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(3222, 128, F3, 2, 127) (dual of [(128, 2), 34, 128]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3222, 128, F3, 2, 126) (dual of [(128, 2), 34, 127]-NRT-code) | [i] | ||
| 3 | Linear OOA(3224, 129, F3, 2, 128) (dual of [(129, 2), 34, 129]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 4 | Linear OOA(3226, 130, F3, 2, 128) (dual of [(130, 2), 34, 129]-NRT-code) | [i] | ||
| 5 | Linear OOA(3223, 128, F3, 2, 128) (dual of [(128, 2), 33, 129]-NRT-code) | [i] | OOA Duplication | |
| 6 | Linear OOA(3221, 127, F3, 2, 127) (dual of [(127, 2), 33, 128]-NRT-code) | [i] | Truncation for OOAs | |
| 7 | Linear OOA(3220, 127, F3, 2, 126) (dual of [(127, 2), 34, 127]-NRT-code) | [i] | ||
| 8 | Linear OOA(3219, 126, F3, 2, 125) (dual of [(126, 2), 33, 126]-NRT-code) | [i] | ||
| 9 | Linear OOA(3218, 126, F3, 2, 124) (dual of [(126, 2), 34, 125]-NRT-code) | [i] | ||
| 10 | Linear OOA(3217, 125, F3, 2, 123) (dual of [(125, 2), 33, 124]-NRT-code) | [i] | ||
| 11 | Linear OOA(3216, 125, F3, 2, 122) (dual of [(125, 2), 34, 123]-NRT-code) | [i] | ||
| 12 | Linear OOA(3215, 124, F3, 2, 121) (dual of [(124, 2), 33, 122]-NRT-code) | [i] | ||
| 13 | Linear OOA(3222, 64, F3, 4, 128) (dual of [(64, 4), 34, 129]-NRT-code) | [i] | OOA Folding | |