Information on Result #704864
Linear OA(3129, 728, F3, 33) (dual of [728, 599, 34]-code), using the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34
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]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(3145, 745, F3, 33) (dual of [745, 600, 34]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(3150, 751, F3, 33) (dual of [751, 601, 34]-code) | [i] | ||
| 3 | Linear OA(3151, 754, F3, 33) (dual of [754, 603, 34]-code) | [i] | ||
| 4 | Linear OOA(3129, 553, F3, 2, 33) (dual of [(553, 2), 977, 34]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 5 | Linear OOA(3129, 553, F3, 3, 33) (dual of [(553, 3), 1530, 34]-NRT-code) | [i] | ||
| 6 | Linear OOA(3129, 553, F3, 4, 33) (dual of [(553, 4), 2083, 34]-NRT-code) | [i] | ||
| 7 | Linear OOA(3129, 553, F3, 5, 33) (dual of [(553, 5), 2636, 34]-NRT-code) | [i] | ||
| 8 | Digital (96, 129, 553)-net over F3 | [i] | ||
| 9 | Linear OA(3137, 760, F3, 33) (dual of [760, 623, 34]-code) | [i] | Varšamov–Edel Lengthening | |
| 10 | Linear OA(3138, 772, F3, 33) (dual of [772, 634, 34]-code) | [i] | ||
| 11 | Linear OA(3139, 788, F3, 33) (dual of [788, 649, 34]-code) | [i] | ||
| 12 | Linear OA(3140, 808, F3, 33) (dual of [808, 668, 34]-code) | [i] | ||
| 13 | Linear OA(3141, 831, F3, 33) (dual of [831, 690, 34]-code) | [i] | ||
| 14 | Linear OA(3142, 856, F3, 33) (dual of [856, 714, 34]-code) | [i] | ||
| 15 | Linear OA(3143, 884, F3, 33) (dual of [884, 741, 34]-code) | [i] | ||
| 16 | Linear OA(3144, 914, F3, 33) (dual of [914, 770, 34]-code) | [i] | ||
| 17 | Linear OA(3145, 945, F3, 33) (dual of [945, 800, 34]-code) | [i] | ||
| 18 | Linear OA(3138, 743, F3, 35) (dual of [743, 605, 36]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 19 | Linear OA(3174, 793, F3, 39) (dual of [793, 619, 40]-code) | [i] | ✔ | |
| 20 | Linear OA(3178, 796, F3, 40) (dual of [796, 618, 41]-code) | [i] | ✔ | |
| 21 | Linear OA(3172, 787, F3, 39) (dual of [787, 615, 40]-code) | [i] | ✔ | |
| 22 | Linear OA(3148, 759, F3, 36) (dual of [759, 611, 37]-code) | [i] | ✔ | |
| 23 | Linear OA(3171, 787, F3, 39) (dual of [787, 616, 40]-code) | [i] | ✔ | |
| 24 | Linear OA(3175, 790, F3, 40) (dual of [790, 615, 41]-code) | [i] | ✔ | |
| 25 | Linear OA(3169, 781, F3, 39) (dual of [781, 612, 40]-code) | [i] | ✔ | |
| 26 | Linear OA(3174, 785, F3, 40) (dual of [785, 611, 41]-code) | [i] | ✔ | |
| 27 | Linear OA(3148, 753, F3, 37) (dual of [753, 605, 38]-code) | [i] | ✔ | |
| 28 | Linear OA(3146, 748, F3, 36) (dual of [748, 602, 37]-code) | [i] | ✔ | |
| 29 | Linear OA(3168, 778, F3, 39) (dual of [778, 610, 40]-code) | [i] | ✔ | |
| 30 | Linear OA(3172, 781, F3, 40) (dual of [781, 609, 41]-code) | [i] | ✔ | |
| 31 | Linear OA(3166, 772, F3, 39) (dual of [772, 606, 40]-code) | [i] | ✔ | |
| 32 | Linear OA(3165, 769, F3, 39) (dual of [769, 604, 40]-code) | [i] | ✔ | |
| 33 | Linear OA(3169, 772, F3, 40) (dual of [772, 603, 41]-code) | [i] | ✔ | |
| 34 | Linear OA(3163, 763, F3, 39) (dual of [763, 600, 40]-code) | [i] | ✔ | |
| 35 | Linear OA(3153, 752, F3, 38) (dual of [752, 599, 39]-code) | [i] | ✔ | |
| 36 | Linear OA(3161, 760, F3, 39) (dual of [760, 599, 40]-code) | [i] | ✔ | |
| 37 | Linear OA(3174, 771, F3, 41) (dual of [771, 597, 42]-code) | [i] | ✔ | |
| 38 | Linear OA(3160, 759, F3, 39) (dual of [759, 599, 40]-code) | [i] | ✔ | |
| 39 | Linear OA(3180, 778, F3, 42) (dual of [778, 598, 43]-code) | [i] | ✔ | |
| 40 | Linear OA(3184, 781, F3, 43) (dual of [781, 597, 44]-code) | [i] | ✔ | |
| 41 | Linear OA(3178, 772, F3, 42) (dual of [772, 594, 43]-code) | [i] | ✔ | |
| 42 | Linear OA(3179, 778, F3, 42) (dual of [778, 599, 43]-code) | [i] | ✔ | |
| 43 | Linear OA(3192, 789, F3, 44) (dual of [789, 597, 45]-code) | [i] | ✔ | |
| 44 | Linear OA(3191, 784, F3, 44) (dual of [784, 593, 45]-code) | [i] | ✔ | |
| 45 | Linear OA(3198, 796, F3, 45) (dual of [796, 598, 46]-code) | [i] | ✔ | |
| 46 | Linear OA(3202, 799, F3, 46) (dual of [799, 597, 47]-code) | [i] | ✔ | |
| 47 | Linear OA(3196, 790, F3, 45) (dual of [790, 594, 46]-code) | [i] | ✔ | |
| 48 | Linear OA(3201, 794, F3, 46) (dual of [794, 593, 47]-code) | [i] | ✔ | |
| 49 | Linear OOA(3129, 364, F3, 2, 33) (dual of [(364, 2), 599, 34]-NRT-code) | [i] | OOA Folding | |
| 50 | Linear OOA(3129, 242, F3, 3, 33) (dual of [(242, 3), 597, 34]-NRT-code) | [i] | ||
| 51 | Linear OOA(3129, 182, F3, 4, 33) (dual of [(182, 4), 599, 34]-NRT-code) | [i] | ||
| 52 | Linear OOA(3129, 145, F3, 5, 33) (dual of [(145, 5), 596, 34]-NRT-code) | [i] | ||