Information on Result #725724
Linear OA(2723, 728, F27, 12) (dual of [728, 705, 13]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 272−1, defining interval I = [0,11], and designed minimum distance d ≥ |I|+1 = 13
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]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(2725, 732, F27, 13) (dual of [732, 707, 14]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(2728, 735, F27, 14) (dual of [735, 707, 15]-code) | [i] | ✔ | |
| 3 | Linear OA(2731, 738, F27, 15) (dual of [738, 707, 16]-code) | [i] | ✔ | |
| 4 | Linear OA(2734, 741, F27, 16) (dual of [741, 707, 17]-code) | [i] | ✔ | |
| 5 | Linear OA(2737, 744, F27, 17) (dual of [744, 707, 18]-code) | [i] | ✔ | |
| 6 | Linear OA(2740, 747, F27, 18) (dual of [747, 707, 19]-code) | [i] | ✔ | |
| 7 | Linear OA(2751, 762, F27, 21) (dual of [762, 711, 22]-code) | [i] | ✔ | |
| 8 | Linear OA(2743, 750, F27, 19) (dual of [750, 707, 20]-code) | [i] | ✔ | |
| 9 | Linear OA(2754, 763, F27, 22) (dual of [763, 709, 23]-code) | [i] | ✔ | |
| 10 | Linear OA(2754, 764, F27, 22) (dual of [764, 710, 23]-code) | [i] | ✔ | |
| 11 | Linear OA(2750, 759, F27, 21) (dual of [759, 709, 22]-code) | [i] | ✔ | |
| 12 | Linear OA(2746, 753, F27, 20) (dual of [753, 707, 21]-code) | [i] | ✔ | |
| 13 | Linear OA(2753, 760, F27, 22) (dual of [760, 707, 23]-code) | [i] | ✔ | |
| 14 | Linear OA(2753, 761, F27, 22) (dual of [761, 708, 23]-code) | [i] | ✔ | |
| 15 | Linear OA(2749, 756, F27, 21) (dual of [756, 707, 22]-code) | [i] | ✔ | |
| 16 | Linear OA(2752, 758, F27, 22) (dual of [758, 706, 23]-code) | [i] | ✔ | |
| 17 | Linear OA(2727, 732, F27, 14) (dual of [732, 705, 15]-code) | [i] | ✔ | |
| 18 | Linear OA(2733, 738, F27, 16) (dual of [738, 705, 17]-code) | [i] | ✔ | |
| 19 | Linear OA(2739, 744, F27, 18) (dual of [744, 705, 19]-code) | [i] | ✔ | |
| 20 | Linear OA(2745, 750, F27, 20) (dual of [750, 705, 21]-code) | [i] | ✔ | |
| 21 | Linear OA(2751, 756, F27, 22) (dual of [756, 705, 23]-code) | [i] | ✔ | |
| 22 | Linear OA(2754, 759, F27, 23) (dual of [759, 705, 24]-code) | [i] | ✔ | |
| 23 | Linear OA(2757, 761, F27, 24) (dual of [761, 704, 25]-code) | [i] | ✔ | |
| 24 | Linear OA(2757, 762, F27, 24) (dual of [762, 705, 25]-code) | [i] | ✔ | |
| 25 | Linear OA(2760, 764, F27, 25) (dual of [764, 704, 26]-code) | [i] | ✔ | |
| 26 | Linear OA(2760, 765, F27, 25) (dual of [765, 705, 26]-code) | [i] | ✔ | |
| 27 | Linear OA(2763, 767, F27, 26) (dual of [767, 704, 27]-code) | [i] | ✔ | |
| 28 | Linear OA(2763, 768, F27, 26) (dual of [768, 705, 27]-code) | [i] | ✔ | |
| 29 | Linear OA(2766, 770, F27, 27) (dual of [770, 704, 28]-code) | [i] | ✔ | |
| 30 | Linear OA(2766, 771, F27, 27) (dual of [771, 705, 28]-code) | [i] | ✔ | |