Information on Result #700748
Linear OA(324, 80, F3, 9) (dual of [80, 56, 10]-code), using the primitive narrow-sense BCH-code C(I) with length 80 = 34−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 10
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 OOA(324, 58, F3, 2, 9) (dual of [(58, 2), 92, 10]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(324, 58, F3, 3, 9) (dual of [(58, 3), 150, 10]-NRT-code) | [i] | ||
| 3 | Linear OOA(324, 58, F3, 4, 9) (dual of [(58, 4), 208, 10]-NRT-code) | [i] | ||
| 4 | Linear OOA(324, 58, F3, 5, 9) (dual of [(58, 5), 266, 10]-NRT-code) | [i] | ||
| 5 | Digital (15, 24, 58)-net over F3 | [i] | ||
| 6 | Linear OA(328, 97, F3, 9) (dual of [97, 69, 10]-code) | [i] | Varšamov–Edel Lengthening | |
| 7 | Linear OA(3249, 6634, F3, 43) (dual of [6634, 6385, 44]-code) | [i] | Construction X with Cyclic Codes | |
| 8 | Linear OA(3249, 2254, F3, 49) (dual of [2254, 2005, 50]-code) | [i] | ||
| 9 | Linear OA(339, 95, F3, 14) (dual of [95, 56, 15]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 10 | Linear OA(3250, 19763, F3, 38) (dual of [19763, 19513, 39]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 11 | Linear OA(3241, 6641, F3, 41) (dual of [6641, 6400, 42]-code) | [i] | ||
| 12 | Linear OA(3242, 2260, F3, 47) (dual of [2260, 2018, 48]-code) | [i] | ||
| 13 | Linear OA(3228, 2260, F3, 44) (dual of [2260, 2032, 45]-code) | [i] | ||
| 14 | Linear OA(3214, 2260, F3, 41) (dual of [2260, 2046, 42]-code) | [i] | ||
| 15 | Linear OA(3200, 2260, F3, 38) (dual of [2260, 2060, 39]-code) | [i] | ||
| 16 | Linear OA(3247, 786, F3, 59) (dual of [786, 539, 60]-code) | [i] | ||
| 17 | Linear OA(3238, 789, F3, 56) (dual of [789, 551, 57]-code) | [i] | ||
| 18 | Linear OA(3232, 795, F3, 53) (dual of [795, 563, 54]-code) | [i] | ||
| 19 | Linear OA(3220, 795, F3, 50) (dual of [795, 575, 51]-code) | [i] | ||
| 20 | Linear OA(3208, 795, F3, 47) (dual of [795, 587, 48]-code) | [i] | ||
| 21 | Linear OA(3184, 795, F3, 41) (dual of [795, 611, 42]-code) | [i] | ||
| 22 | Linear OA(3172, 792, F3, 38) (dual of [792, 620, 39]-code) | [i] | ||
| 23 | Linear OA(3160, 792, F3, 35) (dual of [792, 632, 36]-code) | [i] | ||
| 24 | Linear OOA(324, 40, F3, 2, 9) (dual of [(40, 2), 56, 10]-NRT-code) | [i] | OOA Folding | |