Information on Result #612497
Linear OA(3120, 126, F3, 80) (dual of [126, 6, 81]-code), using construction X applied to C([0,75]) ⊂ C([1,75]) based on
- linear OA(3116, 121, F3, 80) (dual of [121, 5, 81]-code), using the expurgated narrow-sense BCH-code C(I) with length 121 | 35−1, defining interval I = [0,75], and minimum distance d ≥ |{5,15,25,…,−52}|+1 = 81 (BCH-bound) [i]
- linear OA(3115, 121, F3, 75) (dual of [121, 6, 76]-code), using the narrow-sense BCH-code C(I) with length 121 | 35−1, defining interval I = [1,75], and designed minimum distance d ≥ |I|+1 = 76 [i]
- linear OA(34, 5, F3, 4) (dual of [5, 1, 5]-code or 5-arc in PG(3,3)), using
- dual of repetition code with length 5 [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, 126, F3, 79) (dual of [126, 6, 80]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(3119, 125, F3, 79) (dual of [125, 6, 80]-code) | [i] | Truncation | |
| 3 | Linear OA(3117, 123, F3, 77) (dual of [123, 6, 78]-code) | [i] | ||
| 4 | Linear OA(340, 45, F3, 26) (dual of [45, 5, 27]-code) | [i] | Residual Code | |
| 5 | Linear OOA(3120, 42, F3, 3, 80) (dual of [(42, 3), 6, 81]-NRT-code) | [i] | OOA Folding | |