Information on Result #916167
Linear OOA(3220, 124, F3, 2, 131) (dual of [(124, 2), 28, 132]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(948, 31, F9, 2, 43) (dual of [(31, 2), 14, 44]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(948, 32, F9, 2, 43) (dual of [(32, 2), 16, 44]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,20P) [i] based on function field F/F9 with g(F) = 5 and N(F) ≥ 32, using
- discarding factors / shortening the dual code based on linear OOA(948, 32, F9, 2, 43) (dual of [(32, 2), 16, 44]-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(3220, 124, F3, 2, 130) (dual of [(124, 2), 28, 131]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3220, 124, F3, 2, 129) (dual of [(124, 2), 28, 130]-NRT-code) | [i] | ||
| 3 | Linear OOA(3219, 123, F3, 2, 130) (dual of [(123, 2), 27, 131]-NRT-code) | [i] | Truncation for OOAs | |
| 4 | Linear OOA(3218, 123, F3, 2, 129) (dual of [(123, 2), 28, 130]-NRT-code) | [i] | ||
| 5 | Linear OOA(3217, 122, F3, 2, 128) (dual of [(122, 2), 27, 129]-NRT-code) | [i] | ||
| 6 | Linear OOA(3216, 122, F3, 2, 127) (dual of [(122, 2), 28, 128]-NRT-code) | [i] | ||
| 7 | Linear OOA(3215, 121, F3, 2, 126) (dual of [(121, 2), 27, 127]-NRT-code) | [i] | ||
| 8 | Linear OOA(3220, 62, F3, 4, 131) (dual of [(62, 4), 28, 132]-NRT-code) | [i] | OOA Folding | |