Information on Result #1030640
Linear OOA(3218, 84, F3, 3, 131) (dual of [(84, 3), 34, 132]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(946, 21, F9, 3, 43) (dual of [(21, 3), 17, 44]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(946, 28, F9, 3, 43) (dual of [(28, 3), 38, 44]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,40P) [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(3;F,40P) [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(946, 28, F9, 3, 43) (dual of [(28, 3), 38, 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(3218, 84, F3, 3, 130) (dual of [(84, 3), 34, 131]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3219, 84, F3, 3, 131) (dual of [(84, 3), 33, 132]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(3217, 83, F3, 3, 130) (dual of [(83, 3), 32, 131]-NRT-code) | [i] | Truncation for OOAs | |
| 4 | Linear OOA(3216, 83, F3, 3, 129) (dual of [(83, 3), 33, 130]-NRT-code) | [i] | ||
| 5 | Linear OOA(3215, 83, F3, 3, 128) (dual of [(83, 3), 34, 129]-NRT-code) | [i] | ||
| 6 | Linear OOA(3214, 82, F3, 3, 127) (dual of [(82, 3), 32, 128]-NRT-code) | [i] | ||
| 7 | Linear OOA(3213, 82, F3, 3, 126) (dual of [(82, 3), 33, 127]-NRT-code) | [i] | ||
| 8 | Linear OOA(3212, 82, F3, 3, 125) (dual of [(82, 3), 34, 126]-NRT-code) | [i] | ||
| 9 | Linear OOA(3210, 81, F3, 3, 123) (dual of [(81, 3), 33, 124]-NRT-code) | [i] | ||