Information on Result #700746
Linear OA(330, 80, F3, 12) (dual of [80, 50, 13]-code), using the primitive narrow-sense BCH-code C(I) with length 80 = 34−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 13
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(337, 106, F3, 12) (dual of [106, 69, 13]-code) | [i] | Varšamov–Edel Lengthening | |
| 2 | Linear OA(339, 95, F3, 14) (dual of [95, 56, 15]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 3 | Linear OA(337, 91, F3, 14) (dual of [91, 54, 15]-code) | [i] | ✔ | |
| 4 | Linear OA(345, 99, F3, 16) (dual of [99, 54, 17]-code) | [i] | ✔ | |
| 5 | Linear OA(347, 97, F3, 17) (dual of [97, 50, 18]-code) | [i] | ✔ | |
| 6 | Linear OA(3244, 807, F3, 56) (dual of [807, 563, 57]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 7 | Linear OOA(330, 40, F3, 2, 12) (dual of [(40, 2), 50, 13]-NRT-code) | [i] | OOA Folding | |