Information on Result #612278
Linear OA(3166, 729, F3, 43) (dual of [729, 563, 44]-code), using an extension Ce(42) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43
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(3187, 751, F3, 43) (dual of [751, 564, 44]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(3171, 755, F3, 43) (dual of [755, 584, 44]-code) | [i] | Varšamov–Edel Lengthening | |
| 3 | Linear OA(3172, 769, F3, 43) (dual of [769, 597, 44]-code) | [i] | ||
| 4 | Linear OA(3173, 786, F3, 43) (dual of [786, 613, 44]-code) | [i] | ||
| 5 | Linear OA(3174, 805, F3, 43) (dual of [805, 631, 44]-code) | [i] | ||
| 6 | Linear OA(3175, 825, F3, 43) (dual of [825, 650, 44]-code) | [i] | ||
| 7 | Linear OA(3176, 846, F3, 43) (dual of [846, 670, 44]-code) | [i] | ||
| 8 | Linear OA(3172, 735, F3, 44) (dual of [735, 563, 45]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 9 | Linear OA(3167, 736, F3, 43) (dual of [736, 569, 44]-code) | [i] | ✔ | |
| 10 | Linear OA(3179, 742, F3, 45) (dual of [742, 563, 46]-code) | [i] | ✔ | |
| 11 | Linear OA(3181, 742, F3, 46) (dual of [742, 561, 47]-code) | [i] | ✔ | |
| 12 | Linear OA(3182, 745, F3, 46) (dual of [745, 563, 47]-code) | [i] | ✔ | |
| 13 | Linear OA(3167, 742, F3, 42) (dual of [742, 575, 43]-code) | [i] | ✔ | |
| 14 | Linear OA(3169, 742, F3, 43) (dual of [742, 573, 44]-code) | [i] | ✔ | |
| 15 | Linear OA(3170, 745, F3, 43) (dual of [745, 575, 44]-code) | [i] | ✔ | |
| 16 | Linear OA(3189, 749, F3, 47) (dual of [749, 560, 48]-code) | [i] | ✔ | |
| 17 | Linear OA(3190, 753, F3, 47) (dual of [753, 563, 48]-code) | [i] | ✔ | |
| 18 | Linear OA(3173, 754, F3, 43) (dual of [754, 581, 44]-code) | [i] | ✔ | |
| 19 | Linear OA(3171, 749, F3, 42) (dual of [749, 578, 43]-code) | [i] | ✔ | |
| 20 | Linear OA(3198, 757, F3, 49) (dual of [757, 559, 50]-code) | [i] | ✔ | |
| 21 | Linear OA(3200, 763, F3, 49) (dual of [763, 563, 50]-code) | [i] | ✔ | |
| 22 | Linear OA(3198, 761, F3, 48) (dual of [761, 563, 49]-code) | [i] | ✔ | |
| 23 | Linear OA(3174, 757, F3, 43) (dual of [757, 583, 44]-code) | [i] | ✔ | |
| 24 | Linear OA(3176, 763, F3, 43) (dual of [763, 587, 44]-code) | [i] | ✔ | |
| 25 | Linear OA(3174, 761, F3, 42) (dual of [761, 587, 43]-code) | [i] | ✔ | |
| 26 | Linear OA(3210, 769, F3, 50) (dual of [769, 559, 51]-code) | [i] | ✔ | |
| 27 | Linear OA(3211, 771, F3, 50) (dual of [771, 560, 51]-code) | [i] | ✔ | |
| 28 | Linear OA(3212, 775, F3, 50) (dual of [775, 563, 51]-code) | [i] | ✔ | |
| 29 | Linear OA(3181, 770, F3, 43) (dual of [770, 589, 44]-code) | [i] | ✔ | |
| 30 | Linear OA(3182, 772, F3, 43) (dual of [772, 590, 44]-code) | [i] | ✔ | |
| 31 | Linear OA(3183, 776, F3, 43) (dual of [776, 593, 44]-code) | [i] | ✔ | |
| 32 | Linear OA(3223, 786, F3, 52) (dual of [786, 563, 53]-code) | [i] | ✔ | |
| 33 | Linear OA(3219, 782, F3, 51) (dual of [782, 563, 52]-code) | [i] | ✔ | |
| 34 | Linear OA(3187, 786, F3, 43) (dual of [786, 599, 44]-code) | [i] | ✔ | |
| 35 | Linear OA(3183, 782, F3, 42) (dual of [782, 599, 43]-code) | [i] | ✔ | |
| 36 | Linear OA(3232, 795, F3, 53) (dual of [795, 563, 54]-code) | [i] | ✔ | |
| 37 | Linear OA(3244, 807, F3, 56) (dual of [807, 563, 57]-code) | [i] | ✔ | |
| 38 | Linear OA(3241, 804, F3, 55) (dual of [804, 563, 56]-code) | [i] | ✔ | |
| 39 | Linear OA(3239, 802, F3, 54) (dual of [802, 563, 55]-code) | [i] | ✔ | |
| 40 | Linear OA(3248, 810, F3, 57) (dual of [810, 562, 58]-code) | [i] | ✔ | |
| 41 | Linear OA(3249, 812, F3, 57) (dual of [812, 563, 58]-code) | [i] | ✔ | |
| 42 | Linear OA(3200, 764, F3, 48) (dual of [764, 564, 49]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 43 | Linear OA(3180, 738, F3, 46) (dual of [738, 558, 47]-code) | [i] | ✔ | |
| 44 | Linear OA(3182, 747, F3, 45) (dual of [747, 565, 46]-code) | [i] | ✔ | |
| 45 | Linear OA(3184, 748, F3, 46) (dual of [748, 564, 47]-code) | [i] | ✔ | |
| 46 | Linear OA(3181, 745, F3, 45) (dual of [745, 564, 46]-code) | [i] | ✔ | |
| 47 | Linear OA(3174, 738, F3, 44) (dual of [738, 564, 45]-code) | [i] | ✔ | |
| 48 | Linear OA(3168, 738, F3, 43) (dual of [738, 570, 44]-code) | [i] | ✔ | |
| 49 | Linear OA(3170, 747, F3, 42) (dual of [747, 577, 43]-code) | [i] | ✔ | |
| 50 | Linear OA(3172, 748, F3, 43) (dual of [748, 576, 44]-code) | [i] | ✔ | |
| 51 | Linear OA(3169, 745, F3, 42) (dual of [745, 576, 43]-code) | [i] | ✔ | |
| 52 | Linear OA(3176, 764, F3, 42) (dual of [764, 588, 43]-code) | [i] | ✔ | |
| 53 | Linear OOA(3166, 243, F3, 3, 43) (dual of [(243, 3), 563, 44]-NRT-code) | [i] | OOA Folding | |