Information on Result #611790
Linear OA(3121, 531441, F3, 16) (dual of [531441, 531320, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16
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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(3120, 531440, F3, 15) (dual of [531440, 531320, 16]-code) | [i] | Truncation | |
| 2 | Linear OA(3129, 531450, F3, 16) (dual of [531450, 531321, 17]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(3133, 531453, F3, 17) (dual of [531453, 531320, 18]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 4 | Linear OA(3122, 531454, F3, 16) (dual of [531454, 531332, 17]-code) | [i] | ✔ | |
| 5 | Linear OA(3146, 531466, F3, 18) (dual of [531466, 531320, 19]-code) | [i] | ✔ | |
| 6 | Linear OA(3149, 531469, F3, 19) (dual of [531469, 531320, 20]-code) | [i] | ✔ | |
| 7 | Linear OA(3125, 531469, F3, 16) (dual of [531469, 531344, 17]-code) | [i] | ✔ | |
| 8 | Linear OA(3163, 531483, F3, 20) (dual of [531483, 531320, 21]-code) | [i] | ✔ | |
| 9 | Linear OA(3129, 531482, F3, 16) (dual of [531482, 531353, 17]-code) | [i] | ✔ | |
| 10 | Linear OA(3130, 531486, F3, 16) (dual of [531486, 531356, 17]-code) | [i] | ✔ | |
| 11 | Linear OA(3127, 531483, F3, 15) (dual of [531483, 531356, 16]-code) | [i] | ✔ | |
| 12 | Linear OA(3181, 531497, F3, 22) (dual of [531497, 531316, 23]-code) | [i] | ✔ | |
| 13 | Linear OA(3182, 531502, F3, 22) (dual of [531502, 531320, 23]-code) | [i] | ✔ | |
| 14 | Linear OA(3178, 531498, F3, 21) (dual of [531498, 531320, 22]-code) | [i] | ✔ | |
| 15 | Linear OA(3180, 531500, F3, 22) (dual of [531500, 531320, 23]-code) | [i] | ✔ | |
| 16 | Linear OA(3146, 531467, F3, 18) (dual of [531467, 531321, 19]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |
| 17 | Linear OOA(3121, 265720, F3, 2, 16) (dual of [(265720, 2), 531319, 17]-NRT-code) | [i] | OOA Folding | |
| 18 | Linear OOA(3121, 177147, F3, 3, 16) (dual of [(177147, 3), 531320, 17]-NRT-code) | [i] | ||
| 19 | Linear OOA(3121, 132860, F3, 4, 16) (dual of [(132860, 4), 531319, 17]-NRT-code) | [i] | ||
| 20 | Linear OOA(3121, 106288, F3, 5, 16) (dual of [(106288, 5), 531319, 17]-NRT-code) | [i] | ||
| 21 | Linear OOA(3121, 66430, F3, 16, 16) (dual of [(66430, 16), 1062759, 17]-NRT-code) | [i] | OA Folding and Stacking | |