Information on Result #612156
Linear OA(3130, 729, F3, 34) (dual of [729, 599, 35]-code), using an extension Ce(33) of 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
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(3147, 747, F3, 34) (dual of [747, 600, 35]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(3152, 753, F3, 34) (dual of [753, 601, 35]-code) | [i] | ||
| 3 | Linear OA(3153, 756, F3, 34) (dual of [756, 603, 35]-code) | [i] | ||
| 4 | Linear OA(3153, 753, F3, 34) (dual of [753, 600, 35]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 5 | Linear OA(3141, 772, F3, 34) (dual of [772, 631, 35]-code) | [i] | Varšamov–Edel Lengthening | |
| 6 | Linear OA(3142, 785, F3, 34) (dual of [785, 643, 35]-code) | [i] | ||
| 7 | Linear OA(3143, 802, F3, 34) (dual of [802, 659, 35]-code) | [i] | ||
| 8 | Linear OA(3144, 822, F3, 34) (dual of [822, 678, 35]-code) | [i] | ||
| 9 | Linear OA(3145, 844, F3, 34) (dual of [844, 699, 35]-code) | [i] | ||
| 10 | Linear OA(3146, 869, F3, 34) (dual of [869, 723, 35]-code) | [i] | ||
| 11 | Linear OA(3147, 896, F3, 34) (dual of [896, 749, 35]-code) | [i] | ||
| 12 | Linear OA(3136, 735, F3, 35) (dual of [735, 599, 36]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 13 | Linear OA(3131, 736, F3, 34) (dual of [736, 605, 35]-code) | [i] | ✔ | |
| 14 | Linear OA(3143, 742, F3, 36) (dual of [742, 599, 37]-code) | [i] | ✔ | |
| 15 | Linear OA(3145, 742, F3, 37) (dual of [742, 597, 38]-code) | [i] | ✔ | |
| 16 | Linear OA(3146, 745, F3, 37) (dual of [745, 599, 38]-code) | [i] | ✔ | |
| 17 | Linear OA(3131, 742, F3, 33) (dual of [742, 611, 34]-code) | [i] | ✔ | |
| 18 | Linear OA(3133, 742, F3, 34) (dual of [742, 609, 35]-code) | [i] | ✔ | |
| 19 | Linear OA(3134, 745, F3, 34) (dual of [745, 611, 35]-code) | [i] | ✔ | |
| 20 | Linear OA(3153, 749, F3, 38) (dual of [749, 596, 39]-code) | [i] | ✔ | |
| 21 | Linear OA(3154, 753, F3, 38) (dual of [753, 599, 39]-code) | [i] | ✔ | |
| 22 | Linear OA(3137, 754, F3, 34) (dual of [754, 617, 35]-code) | [i] | ✔ | |
| 23 | Linear OA(3135, 749, F3, 33) (dual of [749, 614, 34]-code) | [i] | ✔ | |
| 24 | Linear OA(3162, 757, F3, 40) (dual of [757, 595, 41]-code) | [i] | ✔ | |
| 25 | Linear OA(3164, 763, F3, 40) (dual of [763, 599, 41]-code) | [i] | ✔ | |
| 26 | Linear OA(3162, 761, F3, 39) (dual of [761, 599, 40]-code) | [i] | ✔ | |
| 27 | Linear OA(3138, 757, F3, 34) (dual of [757, 619, 35]-code) | [i] | ✔ | |
| 28 | Linear OA(3140, 760, F3, 34) (dual of [760, 620, 35]-code) | [i] | ✔ | |
| 29 | Linear OA(3138, 758, F3, 33) (dual of [758, 620, 34]-code) | [i] | ✔ | |
| 30 | Linear OA(3174, 769, F3, 41) (dual of [769, 595, 42]-code) | [i] | ✔ | |
| 31 | Linear OA(3175, 771, F3, 41) (dual of [771, 596, 42]-code) | [i] | ✔ | |
| 32 | Linear OA(3176, 775, F3, 41) (dual of [775, 599, 42]-code) | [i] | ✔ | |
| 33 | Linear OA(3145, 770, F3, 34) (dual of [770, 625, 35]-code) | [i] | ✔ | |
| 34 | Linear OA(3146, 772, F3, 34) (dual of [772, 626, 35]-code) | [i] | ✔ | |
| 35 | Linear OA(3187, 786, F3, 43) (dual of [786, 599, 44]-code) | [i] | ✔ | |
| 36 | Linear OA(3183, 782, F3, 42) (dual of [782, 599, 43]-code) | [i] | ✔ | |
| 37 | Linear OA(3149, 777, F3, 34) (dual of [777, 628, 35]-code) | [i] | ✔ | |
| 38 | Linear OA(3150, 779, F3, 34) (dual of [779, 629, 35]-code) | [i] | ✔ | |
| 39 | Linear OA(3151, 783, F3, 34) (dual of [783, 632, 35]-code) | [i] | ✔ | |
| 40 | Linear OA(3147, 779, F3, 33) (dual of [779, 632, 34]-code) | [i] | ✔ | |
| 41 | Linear OA(3164, 764, F3, 39) (dual of [764, 600, 40]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 42 | Linear OA(3144, 738, F3, 37) (dual of [738, 594, 38]-code) | [i] | ✔ | |
| 43 | Linear OA(3146, 747, F3, 36) (dual of [747, 601, 37]-code) | [i] | ✔ | |
| 44 | Linear OA(3148, 748, F3, 37) (dual of [748, 600, 38]-code) | [i] | ✔ | |
| 45 | Linear OA(3145, 745, F3, 36) (dual of [745, 600, 37]-code) | [i] | ✔ | |
| 46 | Linear OA(3138, 738, F3, 35) (dual of [738, 600, 36]-code) | [i] | ✔ | |
| 47 | Linear OA(3132, 738, F3, 34) (dual of [738, 606, 35]-code) | [i] | ✔ | |
| 48 | Linear OA(3134, 747, F3, 33) (dual of [747, 613, 34]-code) | [i] | ✔ | |
| 49 | Linear OA(3136, 748, F3, 34) (dual of [748, 612, 35]-code) | [i] | ✔ | |
| 50 | Linear OA(3133, 745, F3, 33) (dual of [745, 612, 34]-code) | [i] | ✔ | |
| 51 | Linear OA(3143, 767, F3, 33) (dual of [767, 624, 34]-code) | [i] | ✔ | |
| 52 | Linear OA(3144, 767, F3, 34) (dual of [767, 623, 35]-code) | [i] | ✔ | |
| 53 | Linear OA(3142, 765, F3, 33) (dual of [765, 623, 34]-code) | [i] | ✔ | |
| 54 | Linear OA(3143, 765, F3, 34) (dual of [765, 622, 35]-code) | [i] | ✔ | |
| 55 | Linear OA(3141, 763, F3, 33) (dual of [763, 622, 34]-code) | [i] | ✔ | |
| 56 | Linear OA(3142, 763, F3, 34) (dual of [763, 621, 35]-code) | [i] | ✔ | |
| 57 | Linear OA(3140, 761, F3, 33) (dual of [761, 621, 34]-code) | [i] | ✔ | |
| 58 | Linear OOA(3130, 243, F3, 3, 34) (dual of [(243, 3), 599, 35]-NRT-code) | [i] | OOA Folding | |