Information on Result #704813
Linear OA(3124, 728, F3, 32) (dual of [728, 604, 33]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [0,31], and designed minimum distance d ≥ |I|+1 = 33
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(3124, 519, F3, 2, 32) (dual of [(519, 2), 914, 33]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3124, 519, F3, 3, 32) (dual of [(519, 3), 1433, 33]-NRT-code) | [i] | ||
| 3 | Linear OOA(3124, 519, F3, 4, 32) (dual of [(519, 4), 1952, 33]-NRT-code) | [i] | ||
| 4 | Linear OOA(3124, 519, F3, 5, 32) (dual of [(519, 5), 2471, 33]-NRT-code) | [i] | ||
| 5 | Digital (92, 124, 519)-net over F3 | [i] | ||
| 6 | Linear OA(3168, 793, F3, 38) (dual of [793, 625, 39]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 7 | Linear OA(3166, 787, F3, 38) (dual of [787, 621, 39]-code) | [i] | ✔ | |
| 8 | Linear OA(3130, 740, F3, 33) (dual of [740, 610, 34]-code) | [i] | ✔ | |
| 9 | Linear OA(3178, 796, F3, 39) (dual of [796, 618, 40]-code) | [i] | ✔ | |
| 10 | Linear OA(3163, 782, F3, 38) (dual of [782, 619, 39]-code) | [i] | ✔ | |
| 11 | Linear OA(3161, 776, F3, 38) (dual of [776, 615, 39]-code) | [i] | ✔ | |
| 12 | Linear OA(3140, 750, F3, 35) (dual of [750, 610, 36]-code) | [i] | ✔ | |
| 13 | Linear OA(3139, 747, F3, 35) (dual of [747, 608, 36]-code) | [i] | ✔ | |
| 14 | Linear OA(3173, 785, F3, 39) (dual of [785, 612, 40]-code) | [i] | ✔ | |
| 15 | Linear OA(3162, 778, F3, 38) (dual of [778, 616, 39]-code) | [i] | ✔ | |
| 16 | Linear OA(3160, 772, F3, 38) (dual of [772, 612, 39]-code) | [i] | ✔ | |
| 17 | Linear OA(3148, 758, F3, 36) (dual of [758, 610, 37]-code) | [i] | ✔ | |
| 18 | Linear OA(3147, 754, F3, 36) (dual of [754, 607, 37]-code) | [i] | ✔ | |
| 19 | Linear OA(3158, 768, F3, 38) (dual of [768, 610, 39]-code) | [i] | ✔ | |
| 20 | Linear OA(3156, 762, F3, 38) (dual of [762, 606, 39]-code) | [i] | ✔ | |
| 21 | Linear OA(3168, 771, F3, 39) (dual of [771, 603, 40]-code) | [i] | ✔ | |
| 22 | Linear OA(3147, 751, F3, 37) (dual of [751, 604, 38]-code) | [i] | ✔ | |
| 23 | Linear OA(3144, 748, F3, 36) (dual of [748, 604, 37]-code) | [i] | ✔ | |
| 24 | Linear OA(3146, 748, F3, 37) (dual of [748, 602, 38]-code) | [i] | ✔ | |
| 25 | Linear OA(3154, 755, F3, 38) (dual of [755, 601, 39]-code) | [i] | ✔ | |
| 26 | Linear OA(3165, 769, F3, 40) (dual of [769, 604, 41]-code) | [i] | ✔ | |
| 27 | Linear OA(3163, 763, F3, 40) (dual of [763, 600, 41]-code) | [i] | ✔ | |
| 28 | Linear OA(3175, 772, F3, 41) (dual of [772, 597, 42]-code) | [i] | ✔ | |
| 29 | Linear OA(3172, 772, F3, 41) (dual of [772, 600, 42]-code) | [i] | ✔ | |
| 30 | Linear OA(3183, 787, F3, 43) (dual of [787, 604, 44]-code) | [i] | ✔ | |
| 31 | Linear OA(3181, 785, F3, 42) (dual of [785, 604, 43]-code) | [i] | ✔ | |
| 32 | Linear OA(3181, 781, F3, 43) (dual of [781, 600, 44]-code) | [i] | ✔ | |
| 33 | Linear OA(3193, 790, F3, 44) (dual of [790, 597, 45]-code) | [i] | ✔ | |
| 34 | Linear OA(3192, 796, F3, 44) (dual of [796, 604, 45]-code) | [i] | ✔ | |
| 35 | Linear OA(3190, 790, F3, 44) (dual of [790, 600, 45]-code) | [i] | ✔ | |