Information on Result #1030636
Linear OOA(3248, 104, F3, 3, 131) (dual of [(104, 3), 64, 132]-NRT-code), using concatenation of two NRT-codes based on
- linear OOA(946, 26, F9, 3, 43) (dual of [(26, 3), 32, 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(3248, 104, F3, 3, 130) (dual of [(104, 3), 64, 131]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(3247, 103, F3, 3, 130) (dual of [(103, 3), 62, 131]-NRT-code) | [i] | Truncation for OOAs | |
| 3 | Linear OOA(3246, 103, F3, 3, 129) (dual of [(103, 3), 63, 130]-NRT-code) | [i] | ||
| 4 | Linear OOA(3245, 103, F3, 3, 128) (dual of [(103, 3), 64, 129]-NRT-code) | [i] | ||