Information on Result #611788
Linear OA(3101, 59049, F3, 16) (dual of [59049, 58948, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 59048 = 310−1, 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(3100, 59048, F3, 15) (dual of [59048, 58948, 16]-code) | [i] | Truncation | |
| 2 | Linear OA(3109, 59058, F3, 16) (dual of [59058, 58949, 17]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(3111, 59059, F3, 17) (dual of [59059, 58948, 18]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 4 | Linear OA(3102, 59060, F3, 16) (dual of [59060, 58958, 17]-code) | [i] | ✔ | |
| 5 | Linear OA(3122, 59070, F3, 18) (dual of [59070, 58948, 19]-code) | [i] | ✔ | |
| 6 | Linear OA(3125, 59073, F3, 19) (dual of [59073, 58948, 20]-code) | [i] | ✔ | |
| 7 | Linear OA(3105, 59073, F3, 16) (dual of [59073, 58968, 17]-code) | [i] | ✔ | |
| 8 | Linear OA(3137, 59085, F3, 20) (dual of [59085, 58948, 21]-code) | [i] | ✔ | |
| 9 | Linear OA(3109, 59087, F3, 16) (dual of [59087, 58978, 17]-code) | [i] | ✔ | |
| 10 | Linear OA(3107, 59085, F3, 15) (dual of [59085, 58978, 16]-code) | [i] | ✔ | |
| 11 | Linear OA(3153, 59101, F3, 22) (dual of [59101, 58948, 23]-code) | [i] | ✔ | |
| 12 | Linear OA(3149, 59090, F3, 21) (dual of [59090, 58941, 22]-code) | [i] | ✔ | |
| 13 | Linear OA(3150, 59098, F3, 21) (dual of [59098, 58948, 22]-code) | [i] | ✔ | |
| 14 | Linear OA(3109, 59090, F3, 15) (dual of [59090, 58981, 16]-code) | [i] | ✔ | |
| 15 | Linear OA(3152, 59100, F3, 22) (dual of [59100, 58948, 23]-code) | [i] | ✔ | |
| 16 | Linear OA(3126, 59077, F3, 18) (dual of [59077, 58951, 19]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 17 | Linear OA(3106, 59077, F3, 15) (dual of [59077, 58971, 16]-code) | [i] | ✔ | |
| 18 | Linear OA(3122, 59071, F3, 18) (dual of [59071, 58949, 19]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |
| 19 | Linear OOA(3101, 29524, F3, 2, 16) (dual of [(29524, 2), 58947, 17]-NRT-code) | [i] | OOA Folding | |
| 20 | Linear OOA(3101, 19683, F3, 3, 16) (dual of [(19683, 3), 58948, 17]-NRT-code) | [i] | ||
| 21 | Linear OOA(3101, 14762, F3, 4, 16) (dual of [(14762, 4), 58947, 17]-NRT-code) | [i] | ||
| 22 | Linear OOA(3101, 11809, F3, 5, 16) (dual of [(11809, 5), 58944, 17]-NRT-code) | [i] | ||
| 23 | Linear OOA(3101, 7381, F3, 16, 16) (dual of [(7381, 16), 117995, 17]-NRT-code) | [i] | OA Folding and Stacking | |