Information on Result #704063
Linear OA(3153, 728, F3, 39) (dual of [728, 575, 40]-code), using the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,39], and designed minimum distance d ≥ |I|+1 = 40
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(3172, 748, F3, 39) (dual of [748, 576, 40]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(3178, 755, F3, 39) (dual of [755, 577, 40]-code) | [i] | ||
| 3 | Linear OA(3180, 759, F3, 39) (dual of [759, 579, 40]-code) | [i] | ||
| 4 | Linear OA(3158, 756, F3, 39) (dual of [756, 598, 40]-code) | [i] | Varšamov–Edel Lengthening | |
| 5 | Linear OA(3159, 771, F3, 39) (dual of [771, 612, 40]-code) | [i] | ||
| 6 | Linear OA(3160, 789, F3, 39) (dual of [789, 629, 40]-code) | [i] | ||
| 7 | Linear OA(3161, 810, F3, 39) (dual of [810, 649, 40]-code) | [i] | ||
| 8 | Linear OA(3162, 832, F3, 39) (dual of [832, 670, 40]-code) | [i] | ||
| 9 | Linear OA(3169, 772, F3, 39) (dual of [772, 603, 40]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 10 | Linear OA(3162, 743, F3, 41) (dual of [743, 581, 42]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 11 | Linear OA(3198, 796, F3, 45) (dual of [796, 598, 46]-code) | [i] | ✔ | |
| 12 | Linear OA(3202, 799, F3, 46) (dual of [799, 597, 47]-code) | [i] | ✔ | |
| 13 | Linear OA(3196, 790, F3, 45) (dual of [790, 594, 46]-code) | [i] | ✔ | |
| 14 | Linear OA(3201, 794, F3, 46) (dual of [794, 593, 47]-code) | [i] | ✔ | |
| 15 | Linear OA(3172, 759, F3, 42) (dual of [759, 587, 43]-code) | [i] | ✔ | |
| 16 | Linear OA(3195, 787, F3, 45) (dual of [787, 592, 46]-code) | [i] | ✔ | |
| 17 | Linear OA(3199, 790, F3, 46) (dual of [790, 591, 47]-code) | [i] | ✔ | |
| 18 | Linear OA(3193, 781, F3, 45) (dual of [781, 588, 46]-code) | [i] | ✔ | |
| 19 | Linear OA(3198, 785, F3, 46) (dual of [785, 587, 47]-code) | [i] | ✔ | |
| 20 | Linear OA(3172, 753, F3, 43) (dual of [753, 581, 44]-code) | [i] | ✔ | |
| 21 | Linear OA(3170, 748, F3, 42) (dual of [748, 578, 43]-code) | [i] | ✔ | |
| 22 | Linear OA(3192, 778, F3, 45) (dual of [778, 586, 46]-code) | [i] | ✔ | |
| 23 | Linear OA(3196, 781, F3, 46) (dual of [781, 585, 47]-code) | [i] | ✔ | |
| 24 | Linear OA(3190, 772, F3, 45) (dual of [772, 582, 46]-code) | [i] | ✔ | |
| 25 | Linear OA(3189, 769, F3, 45) (dual of [769, 580, 46]-code) | [i] | ✔ | |
| 26 | Linear OA(3193, 772, F3, 46) (dual of [772, 579, 47]-code) | [i] | ✔ | |
| 27 | Linear OA(3187, 763, F3, 45) (dual of [763, 576, 46]-code) | [i] | ✔ | |
| 28 | Linear OA(3177, 752, F3, 44) (dual of [752, 575, 45]-code) | [i] | ✔ | |
| 29 | Linear OA(3185, 760, F3, 45) (dual of [760, 575, 46]-code) | [i] | ✔ | |
| 30 | Linear OA(3198, 771, F3, 47) (dual of [771, 573, 48]-code) | [i] | ✔ | |
| 31 | Linear OA(3184, 759, F3, 45) (dual of [759, 575, 46]-code) | [i] | ✔ | |
| 32 | Linear OA(3204, 778, F3, 48) (dual of [778, 574, 49]-code) | [i] | ✔ | |
| 33 | Linear OA(3208, 781, F3, 49) (dual of [781, 573, 50]-code) | [i] | ✔ | |
| 34 | Linear OA(3202, 772, F3, 48) (dual of [772, 570, 49]-code) | [i] | ✔ | |
| 35 | Linear OA(3203, 778, F3, 48) (dual of [778, 575, 49]-code) | [i] | ✔ | |
| 36 | Linear OA(3216, 789, F3, 50) (dual of [789, 573, 51]-code) | [i] | ✔ | |
| 37 | Linear OA(3215, 784, F3, 50) (dual of [784, 569, 51]-code) | [i] | ✔ | |
| 38 | Linear OA(3222, 796, F3, 51) (dual of [796, 574, 52]-code) | [i] | ✔ | |
| 39 | Linear OA(3226, 799, F3, 52) (dual of [799, 573, 53]-code) | [i] | ✔ | |
| 40 | Linear OA(3220, 790, F3, 51) (dual of [790, 570, 52]-code) | [i] | ✔ | |
| 41 | Linear OA(3225, 794, F3, 52) (dual of [794, 569, 53]-code) | [i] | ✔ | |
| 42 | Linear OOA(3153, 364, F3, 2, 39) (dual of [(364, 2), 575, 40]-NRT-code) | [i] | OOA Folding | |
| 43 | Linear OOA(3153, 242, F3, 3, 39) (dual of [(242, 3), 573, 40]-NRT-code) | [i] | ||
| 44 | Linear OOA(3153, 182, F3, 4, 39) (dual of [(182, 4), 575, 40]-NRT-code) | [i] | ||
| 45 | Linear OOA(3153, 145, F3, 5, 39) (dual of [(145, 5), 572, 40]-NRT-code) | [i] | ||