Information on Result #725858
Linear OA(2731, 728, F27, 16) (dual of [728, 697, 17]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [0,15], and designed minimum distance d ≥ |I|+1 = 17
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
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(2733, 732, F27, 17) (dual of [732, 699, 18]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(2736, 735, F27, 18) (dual of [735, 699, 19]-code) | [i] | ✔ | |
| 3 | Linear OA(2739, 738, F27, 19) (dual of [738, 699, 20]-code) | [i] | ✔ | |
| 4 | Linear OA(2762, 771, F27, 25) (dual of [771, 709, 26]-code) | [i] | ✔ | |
| 5 | Linear OA(2742, 741, F27, 20) (dual of [741, 699, 21]-code) | [i] | ✔ | |
| 6 | Linear OA(2765, 772, F27, 26) (dual of [772, 707, 27]-code) | [i] | ✔ | |
| 7 | Linear OA(2765, 773, F27, 26) (dual of [773, 708, 27]-code) | [i] | ✔ | |
| 8 | Linear OA(2761, 768, F27, 25) (dual of [768, 707, 26]-code) | [i] | ✔ | |
| 9 | Linear OA(2745, 744, F27, 21) (dual of [744, 699, 22]-code) | [i] | ✔ | |
| 10 | Linear OA(2764, 769, F27, 26) (dual of [769, 705, 27]-code) | [i] | ✔ | |
| 11 | Linear OA(2764, 770, F27, 26) (dual of [770, 706, 27]-code) | [i] | ✔ | |
| 12 | Linear OA(2760, 765, F27, 25) (dual of [765, 705, 26]-code) | [i] | ✔ | |
| 13 | Linear OA(2748, 747, F27, 22) (dual of [747, 699, 23]-code) | [i] | ✔ | |
| 14 | Linear OA(2763, 766, F27, 26) (dual of [766, 703, 27]-code) | [i] | ✔ | |
| 15 | Linear OA(2763, 767, F27, 26) (dual of [767, 704, 27]-code) | [i] | ✔ | |
| 16 | Linear OA(2759, 762, F27, 25) (dual of [762, 703, 26]-code) | [i] | ✔ | |
| 17 | Linear OA(2751, 750, F27, 23) (dual of [750, 699, 24]-code) | [i] | ✔ | |
| 18 | Linear OA(2762, 763, F27, 26) (dual of [763, 701, 27]-code) | [i] | ✔ | |
| 19 | Linear OA(2762, 764, F27, 26) (dual of [764, 702, 27]-code) | [i] | ✔ | |
| 20 | Linear OA(2758, 759, F27, 25) (dual of [759, 701, 26]-code) | [i] | ✔ | |
| 21 | Linear OA(2754, 753, F27, 24) (dual of [753, 699, 25]-code) | [i] | ✔ | |
| 22 | Linear OA(2761, 760, F27, 26) (dual of [760, 699, 27]-code) | [i] | ✔ | |
| 23 | Linear OA(2761, 761, F27, 26) (dual of [761, 700, 27]-code) | [i] | ✔ | |
| 24 | Linear OA(2757, 756, F27, 25) (dual of [756, 699, 26]-code) | [i] | ✔ | |
| 25 | Linear OA(2760, 758, F27, 26) (dual of [758, 698, 27]-code) | [i] | ✔ | |
| 26 | Linear OA(2735, 732, F27, 18) (dual of [732, 697, 19]-code) | [i] | ✔ | |
| 27 | Linear OA(2741, 738, F27, 20) (dual of [738, 697, 21]-code) | [i] | ✔ | |
| 28 | Linear OA(2747, 744, F27, 22) (dual of [744, 697, 23]-code) | [i] | ✔ | |
| 29 | Linear OA(2753, 750, F27, 24) (dual of [750, 697, 25]-code) | [i] | ✔ | |
| 30 | Linear OA(2759, 756, F27, 26) (dual of [756, 697, 27]-code) | [i] | ✔ | |
| 31 | Linear OA(2762, 759, F27, 27) (dual of [759, 697, 28]-code) | [i] | ✔ | |