Information on Result #612450
Linear OA(399, 104, F3, 68) (dual of [104, 5, 69]-code), using the expurgated narrow-sense BCH-code C(I) with length 104 | 36−1, defining interval I = [0,64], and minimum distance d ≥ |{−3,−2,…,64}|+1 = 69 (BCH-bound)
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
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(399, 104, F3, 67) (dual of [104, 5, 68]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(398, 103, F3, 67) (dual of [103, 5, 68]-code) | [i] | Truncation | |
| 3 | Linear OA(397, 102, F3, 66) (dual of [102, 5, 67]-code) | [i] | ||
| 4 | Linear OA(396, 101, F3, 65) (dual of [101, 5, 66]-code) | [i] | ||
| 5 | Linear OA(394, 99, F3, 63) (dual of [99, 5, 64]-code) | [i] | ||
| 6 | Linear OA(3102, 108, F3, 68) (dual of [108, 6, 69]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 7 | Linear OA(3118, 126, F3, 74) (dual of [126, 8, 75]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 8 | Linear OA(3112, 118, F3, 74) (dual of [118, 6, 75]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 9 | Linear OOA(399, 52, F3, 2, 68) (dual of [(52, 2), 5, 69]-NRT-code) | [i] | OOA Folding | |