Information on Result #704621
Linear OA(3109, 728, F3, 28) (dual of [728, 619, 29]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [0,27], and designed minimum distance d ≥ |I|+1 = 29
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 OOA(3109, 484, F3, 2, 28) (dual of [(484, 2), 859, 29]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3109, 484, F3, 3, 28) (dual of [(484, 3), 1343, 29]-NRT-code) | [i] | ||
| 3 | Linear OOA(3109, 484, F3, 4, 28) (dual of [(484, 4), 1827, 29]-NRT-code) | [i] | ||
| 4 | Linear OOA(3109, 484, F3, 5, 28) (dual of [(484, 5), 2311, 29]-NRT-code) | [i] | ||
| 5 | Digital (81, 109, 484)-net over F3 | [i] | ||
| 6 | Linear OA(3153, 796, F3, 34) (dual of [796, 643, 35]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 7 | Linear OA(3151, 794, F3, 33) (dual of [794, 643, 34]-code) | [i] | ✔ | |
| 8 | Linear OA(3151, 790, F3, 34) (dual of [790, 639, 35]-code) | [i] | ✔ | |
| 9 | Linear OA(3149, 788, F3, 33) (dual of [788, 639, 34]-code) | [i] | ✔ | |
| 10 | Linear OA(3150, 787, F3, 34) (dual of [787, 637, 35]-code) | [i] | ✔ | |
| 11 | Linear OA(3148, 781, F3, 34) (dual of [781, 633, 35]-code) | [i] | ✔ | |
| 12 | Linear OA(3147, 778, F3, 34) (dual of [778, 631, 35]-code) | [i] | ✔ | |
| 13 | Linear OA(3145, 772, F3, 34) (dual of [772, 627, 35]-code) | [i] | ✔ | |
| 14 | Linear OA(3144, 769, F3, 34) (dual of [769, 625, 35]-code) | [i] | ✔ | |
| 15 | Linear OA(3118, 737, F3, 30) (dual of [737, 619, 31]-code) | [i] | ✔ | |
| 16 | Linear OA(3128, 747, F3, 32) (dual of [747, 619, 33]-code) | [i] | ✔ | |
| 17 | Linear OA(3127, 744, F3, 32) (dual of [744, 617, 33]-code) | [i] | ✔ | |
| 18 | Linear OA(3136, 755, F3, 33) (dual of [755, 619, 34]-code) | [i] | ✔ | |
| 19 | Linear OA(3135, 751, F3, 33) (dual of [751, 616, 34]-code) | [i] | ✔ | |
| 20 | Linear OA(3146, 765, F3, 35) (dual of [765, 619, 36]-code) | [i] | ✔ | |
| 21 | Linear OA(3144, 759, F3, 35) (dual of [759, 615, 36]-code) | [i] | ✔ | |
| 22 | Linear OA(3137, 756, F3, 34) (dual of [756, 619, 35]-code) | [i] | ✔ | |
| 23 | Linear OA(3134, 753, F3, 33) (dual of [753, 619, 34]-code) | [i] | ✔ | |
| 24 | Linear OA(3155, 774, F3, 37) (dual of [774, 619, 38]-code) | [i] | ✔ | |
| 25 | Linear OA(3153, 772, F3, 36) (dual of [772, 619, 37]-code) | [i] | ✔ | |
| 26 | Linear OA(3153, 768, F3, 37) (dual of [768, 615, 38]-code) | [i] | ✔ | |
| 27 | Linear OA(3151, 766, F3, 36) (dual of [766, 615, 37]-code) | [i] | ✔ | |
| 28 | Linear OA(3165, 777, F3, 38) (dual of [777, 612, 39]-code) | [i] | ✔ | |
| 29 | Linear OA(3163, 782, F3, 38) (dual of [782, 619, 39]-code) | [i] | ✔ | |
| 30 | Linear OA(3161, 776, F3, 38) (dual of [776, 615, 39]-code) | [i] | ✔ | |
| 31 | Linear OA(3173, 785, F3, 39) (dual of [785, 612, 40]-code) | [i] | ✔ | |
| 32 | Linear OA(3174, 793, F3, 40) (dual of [793, 619, 41]-code) | [i] | ✔ | |
| 33 | Linear OA(3172, 791, F3, 39) (dual of [791, 619, 40]-code) | [i] | ✔ | |
| 34 | Linear OA(3172, 787, F3, 40) (dual of [787, 615, 41]-code) | [i] | ✔ | |
| 35 | Linear OA(3184, 796, F3, 41) (dual of [796, 612, 42]-code) | [i] | ✔ | |
| 36 | Linear OOA(3109, 364, F3, 2, 28) (dual of [(364, 2), 619, 29]-NRT-code) | [i] | OOA Folding | |
| 37 | Linear OOA(3109, 182, F3, 4, 28) (dual of [(182, 4), 619, 29]-NRT-code) | [i] | ||
| 38 | Linear OOA(3109, 145, F3, 5, 28) (dual of [(145, 5), 616, 29]-NRT-code) | [i] | ||