Information on Result #704296
Linear OA(361, 728, F3, 16) (dual of [728, 667, 17]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 36−1, 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]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(378, 757, F3, 18) (dual of [757, 679, 19]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(380, 757, F3, 19) (dual of [757, 677, 20]-code) | [i] | ✔ | |
| 3 | Linear OA(377, 754, F3, 18) (dual of [754, 677, 19]-code) | [i] | ✔ | |
| 4 | Linear OA(378, 751, F3, 19) (dual of [751, 673, 20]-code) | [i] | ✔ | |
| 5 | Linear OA(375, 748, F3, 18) (dual of [748, 673, 19]-code) | [i] | ✔ | |
| 6 | Linear OA(377, 748, F3, 19) (dual of [748, 671, 20]-code) | [i] | ✔ | |
| 7 | Linear OA(385, 755, F3, 20) (dual of [755, 670, 21]-code) | [i] | ✔ | |
| 8 | Linear OA(396, 775, F3, 21) (dual of [775, 679, 22]-code) | [i] | ✔ | |
| 9 | Linear OA(397, 772, F3, 22) (dual of [772, 675, 23]-code) | [i] | ✔ | |
| 10 | Linear OA(394, 769, F3, 21) (dual of [769, 675, 22]-code) | [i] | ✔ | |
| 11 | Linear OA(396, 769, F3, 22) (dual of [769, 673, 23]-code) | [i] | ✔ | |
| 12 | Linear OA(394, 763, F3, 22) (dual of [763, 669, 23]-code) | [i] | ✔ | |
| 13 | Linear OA(373, 740, F3, 18) (dual of [740, 667, 19]-code) | [i] | ✔ | |
| 14 | Linear OA(383, 750, F3, 20) (dual of [750, 667, 21]-code) | [i] | ✔ | |
| 15 | Linear OA(382, 747, F3, 20) (dual of [747, 665, 21]-code) | [i] | ✔ | |
| 16 | Linear OA(391, 758, F3, 21) (dual of [758, 667, 22]-code) | [i] | ✔ | |
| 17 | Linear OA(390, 754, F3, 21) (dual of [754, 664, 22]-code) | [i] | ✔ | |
| 18 | Linear OA(3101, 768, F3, 23) (dual of [768, 667, 24]-code) | [i] | ✔ | |
| 19 | Linear OA(399, 762, F3, 23) (dual of [762, 663, 24]-code) | [i] | ✔ | |
| 20 | Linear OA(390, 757, F3, 21) (dual of [757, 667, 22]-code) | [i] | ✔ | |
| 21 | Linear OA(392, 757, F3, 22) (dual of [757, 665, 23]-code) | [i] | ✔ | |
| 22 | Linear OA(389, 754, F3, 21) (dual of [754, 665, 22]-code) | [i] | ✔ | |
| 23 | Linear OA(3111, 778, F3, 25) (dual of [778, 667, 26]-code) | [i] | ✔ | |
| 24 | Linear OA(3108, 775, F3, 24) (dual of [775, 667, 25]-code) | [i] | ✔ | |
| 25 | Linear OA(3109, 772, F3, 25) (dual of [772, 663, 26]-code) | [i] | ✔ | |
| 26 | Linear OA(3106, 769, F3, 24) (dual of [769, 663, 25]-code) | [i] | ✔ | |
| 27 | Linear OA(3117, 780, F3, 26) (dual of [780, 663, 27]-code) | [i] | ✔ | |
| 28 | Linear OOA(361, 364, F3, 2, 16) (dual of [(364, 2), 667, 17]-NRT-code) | [i] | OOA Folding | |
| 29 | Linear OOA(361, 182, F3, 4, 16) (dual of [(182, 4), 667, 17]-NRT-code) | [i] | ||
| 30 | Linear OOA(361, 145, F3, 5, 16) (dual of [(145, 5), 664, 17]-NRT-code) | [i] | ||