Information on Result #700700
Linear OA(373, 80, F3, 49) (dual of [80, 7, 50]-code), using the primitive narrow-sense BCH-code C(I) with length 80 = 34−1, defining interval I = [1,44], and designed minimum distance d ≥ |I|+1 = 50
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
- Contraction (with Narrow-Sense BCH-Code) (hidden) [i]
- Primitive Cyclic Codes (BCH-Bound) (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(373, 80, F3, 48) (dual of [80, 7, 49]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(3191, 198, F3, 121) (dual of [198, 7, 122]-code) | [i] | Juxtaposition | |
| 3 | Linear OA(3241, 248, F3, 157) (dual of [248, 7, 158]-code) | [i] | ||
| 4 | Linear OA(3173, 180, F3, 112) (dual of [180, 7, 113]-code) | [i] | ||
| 5 | Linear OA(3177, 184, F3, 115) (dual of [184, 7, 116]-code) | [i] | ||
| 6 | Linear OA(3181, 188, F3, 118) (dual of [188, 7, 119]-code) | [i] | ||
| 7 | Linear OA(3185, 192, F3, 121) (dual of [192, 7, 122]-code) | [i] | ||
| 8 | Linear OA(384, 91, F3, 55) (dual of [91, 7, 56]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 9 | Linear OA(394, 105, F3, 55) (dual of [105, 11, 56]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 10 | Linear OA(392, 103, F3, 54) (dual of [103, 11, 55]-code) | [i] | ✔ | |
| 11 | Linear OA(385, 96, F3, 51) (dual of [96, 11, 52]-code) | [i] | ✔ | |
| 12 | Linear OA(391, 101, F3, 54) (dual of [101, 10, 55]-code) | [i] | ✔ | |
| 13 | Linear OA(389, 97, F3, 54) (dual of [97, 8, 55]-code) | [i] | ✔ | |
| 14 | Linear OA(385, 92, F3, 56) (dual of [92, 7, 57]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 15 | Linear OOA(373, 40, F3, 2, 49) (dual of [(40, 2), 7, 50]-NRT-code) | [i] | OOA Folding | |
| 16 | Linear OOA(373, 26, F3, 3, 49) (dual of [(26, 3), 5, 50]-NRT-code) | [i] | ||