Information on Result #738070
Linear OA(3120, 128, F3, 77) (dual of [128, 8, 78]-code), using concatenation of two codes based on
- linear OA(928, 32, F9, 25) (dual of [32, 4, 26]-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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(3120, 128, F3, 76) (dual of [128, 8, 77]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(3121, 129, F3, 77) (dual of [129, 8, 78]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(3119, 127, F3, 76) (dual of [127, 8, 77]-code) | [i] | Truncation | |
| 4 | Linear OA(3118, 126, F3, 75) (dual of [126, 8, 76]-code) | [i] | ||
| 5 | Linear OA(3117, 125, F3, 74) (dual of [125, 8, 75]-code) | [i] | ||
| 6 | Linear OA(3115, 123, F3, 72) (dual of [123, 8, 73]-code) | [i] | ||
| 7 | Linear OOA(3120, 64, F3, 2, 77) (dual of [(64, 2), 8, 78]-NRT-code) | [i] | OOA Folding | |