Information on Result #612881
Linear OA(4193, large, F4, 22) (dual of [large, large−193, 23]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 412−1, defining interval I = [0,21], and designed minimum distance d ≥ |I|+1 = 23
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and t, m 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(4193, large, F4, 21) (dual of [large, large−193, 22]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4193, large, F4, 20) (dual of [large, large−193, 21]-code) | [i] | ||
| 3 | Linear OA(4193, large, F4, 19) (dual of [large, large−193, 20]-code) | [i] | ||
| 4 | Linear OA(4193, large, F4, 18) (dual of [large, large−193, 19]-code) | [i] | ||
| 5 | Linear OA(4193, large, F4, 17) (dual of [large, large−193, 18]-code) | [i] | ||
| 6 | Linear OA(4193, large, F4, 16) (dual of [large, large−193, 17]-code) | [i] | ||
| 7 | Linear OA(4193, large, F4, 15) (dual of [large, large−193, 16]-code) | [i] | ||
| 8 | Linear OA(4193, large, F4, 14) (dual of [large, large−193, 15]-code) | [i] | ||
| 9 | Linear OA(4193, large, F4, 13) (dual of [large, large−193, 14]-code) | [i] | ||
| 10 | Linear OA(4193, large, F4, 12) (dual of [large, large−193, 13]-code) | [i] | ||
| 11 | Linear OA(4193, large, F4, 11) (dual of [large, large−193, 12]-code) | [i] | ||
| 12 | Linear OA(4193, large, F4, 10) (dual of [large, large−193, 11]-code) | [i] | ||
| 13 | Linear OA(4193, large, F4, 9) (dual of [large, large−193, 10]-code) | [i] | ||
| 14 | Linear OA(4193, large, F4, 8) (dual of [large, large−193, 9]-code) | [i] | ||
| 15 | Linear OA(4193, large, F4, 7) (dual of [large, large−193, 8]-code) | [i] | ||
| 16 | Linear OA(4193, large, F4, 6) (dual of [large, large−193, 7]-code) | [i] | ||
| 17 | Linear OA(4193, large, F4, 5) (dual of [large, large−193, 6]-code) | [i] | ||
| 18 | Linear OA(4193, large, F4, 4) (dual of [large, large−193, 5]-code) | [i] | ||
| 19 | Linear OA(4193, large, F4, 3) (dual of [large, large−193, 4]-code) | [i] | ||
| 20 | Linear OA(4194, large, F4, 22) (dual of [large, large−194, 23]-code) | [i] | Code Embedding in Larger Space | |
| 21 | Linear OA(4195, large, F4, 22) (dual of [large, large−195, 23]-code) | [i] | ||
| 22 | Linear OA(4196, large, F4, 22) (dual of [large, large−196, 23]-code) | [i] | ||
| 23 | Linear OA(4197, large, F4, 22) (dual of [large, large−197, 23]-code) | [i] | ||
| 24 | Linear OA(4198, large, F4, 22) (dual of [large, large−198, 23]-code) | [i] | ||
| 25 | Linear OA(4199, large, F4, 22) (dual of [large, large−199, 23]-code) | [i] | ||
| 26 | Linear OA(4200, large, F4, 22) (dual of [large, large−200, 23]-code) | [i] | ||
| 27 | Linear OA(4201, large, F4, 22) (dual of [large, large−201, 23]-code) | [i] | ||
| 28 | Linear OA(4202, large, F4, 22) (dual of [large, large−202, 23]-code) | [i] | ||
| 29 | Linear OA(4203, large, F4, 22) (dual of [large, large−203, 23]-code) | [i] | ||
| 30 | Linear OA(4204, large, F4, 22) (dual of [large, large−204, 23]-code) | [i] | ||
| 31 | Linear OA(4206, large, F4, 22) (dual of [large, large−206, 23]-code) | [i] | ||
| 32 | Linear OA(4207, large, F4, 22) (dual of [large, large−207, 23]-code) | [i] | ||
| 33 | Linear OA(4208, large, F4, 22) (dual of [large, large−208, 23]-code) | [i] | ||
| 34 | Linear OA(4209, large, F4, 22) (dual of [large, large−209, 23]-code) | [i] | ||
| 35 | Linear OA(4210, large, F4, 22) (dual of [large, large−210, 23]-code) | [i] | ||
| 36 | Linear OA(4211, large, F4, 22) (dual of [large, large−211, 23]-code) | [i] | ||
| 37 | Linear OA(4212, large, F4, 22) (dual of [large, large−212, 23]-code) | [i] | ||
| 38 | Linear OA(4213, large, F4, 22) (dual of [large, large−213, 23]-code) | [i] | ||
| 39 | Linear OA(4214, large, F4, 22) (dual of [large, large−214, 23]-code) | [i] | ||
| 40 | Linear OA(4215, large, F4, 22) (dual of [large, large−215, 23]-code) | [i] | ||
| 41 | Linear OA(4218, large, F4, 22) (dual of [large, large−218, 23]-code) | [i] | ||
| 42 | Linear OA(4219, large, F4, 22) (dual of [large, large−219, 23]-code) | [i] | ||
| 43 | Linear OA(4220, large, F4, 22) (dual of [large, large−220, 23]-code) | [i] | ||
| 44 | Linear OA(4221, large, F4, 22) (dual of [large, large−221, 23]-code) | [i] | ||
| 45 | Linear OA(4222, large, F4, 22) (dual of [large, large−222, 23]-code) | [i] | ||
| 46 | Linear OA(4223, large, F4, 22) (dual of [large, large−223, 23]-code) | [i] | ||
| 47 | Linear OA(4224, large, F4, 22) (dual of [large, large−224, 23]-code) | [i] | ||
| 48 | Linear OA(4225, large, F4, 22) (dual of [large, large−225, 23]-code) | [i] | ||
| 49 | Linear OA(4226, large, F4, 22) (dual of [large, large−226, 23]-code) | [i] | ||
| 50 | Linear OA(4227, large, F4, 22) (dual of [large, large−227, 23]-code) | [i] | ||
| 51 | Linear OA(4228, large, F4, 22) (dual of [large, large−228, 23]-code) | [i] | ||
| 52 | Linear OA(4230, large, F4, 22) (dual of [large, large−230, 23]-code) | [i] | ||
| 53 | Linear OA(4231, large, F4, 22) (dual of [large, large−231, 23]-code) | [i] | ||
| 54 | Linear OA(4232, large, F4, 22) (dual of [large, large−232, 23]-code) | [i] | ||
| 55 | Linear OA(4233, large, F4, 22) (dual of [large, large−233, 23]-code) | [i] | ||
| 56 | Linear OA(4234, large, F4, 22) (dual of [large, large−234, 23]-code) | [i] | ||
| 57 | Linear OA(4235, large, F4, 22) (dual of [large, large−235, 23]-code) | [i] | ||
| 58 | Linear OA(4236, large, F4, 22) (dual of [large, large−236, 23]-code) | [i] | ||
| 59 | Linear OA(4237, large, F4, 22) (dual of [large, large−237, 23]-code) | [i] | ||
| 60 | Linear OA(4238, large, F4, 22) (dual of [large, large−238, 23]-code) | [i] | ||
| 61 | Linear OA(4239, large, F4, 22) (dual of [large, large−239, 23]-code) | [i] | ||
| 62 | Linear OA(4240, large, F4, 22) (dual of [large, large−240, 23]-code) | [i] | ||
| 63 | Linear OA(4242, large, F4, 22) (dual of [large, large−242, 23]-code) | [i] | ||
| 64 | Linear OA(4243, large, F4, 22) (dual of [large, large−243, 23]-code) | [i] | ||
| 65 | Linear OA(4244, large, F4, 22) (dual of [large, large−244, 23]-code) | [i] | ||
| 66 | Linear OA(4245, large, F4, 22) (dual of [large, large−245, 23]-code) | [i] | ||
| 67 | Linear OA(4246, large, F4, 22) (dual of [large, large−246, 23]-code) | [i] | ||
| 68 | Linear OA(4247, large, F4, 22) (dual of [large, large−247, 23]-code) | [i] | ||
| 69 | Linear OA(4248, large, F4, 22) (dual of [large, large−248, 23]-code) | [i] | ||
| 70 | Linear OA(4249, large, F4, 22) (dual of [large, large−249, 23]-code) | [i] | ||
| 71 | Linear OA(4250, large, F4, 22) (dual of [large, large−250, 23]-code) | [i] | ||
| 72 | Linear OA(4251, large, F4, 22) (dual of [large, large−251, 23]-code) | [i] | ||
| 73 | Linear OA(4254, large, F4, 22) (dual of [large, large−254, 23]-code) | [i] | ||
| 74 | Linear OA(4255, large, F4, 22) (dual of [large, large−255, 23]-code) | [i] | ||
| 75 | Linear OA(4256, large, F4, 22) (dual of [large, large−256, 23]-code) | [i] | ||
| 76 | Linear OA(4257, large, F4, 22) (dual of [large, large−257, 23]-code) | [i] | ||
| 77 | Linear OA(4258, large, F4, 22) (dual of [large, large−258, 23]-code) | [i] | ||
| 78 | Linear OA(4259, large, F4, 22) (dual of [large, large−259, 23]-code) | [i] | ||
| 79 | Linear OA(4260, large, F4, 22) (dual of [large, large−260, 23]-code) | [i] | ||
| 80 | Linear OOA(4193, 4194301, F4, 2, 22) (dual of [(4194301, 2), 8388409, 23]-NRT-code) | [i] | OOA Folding | |
| 81 | Linear OOA(4193, 2796201, F4, 3, 22) (dual of [(2796201, 3), 8388410, 23]-NRT-code) | [i] | ||
| 82 | Linear OOA(4193, 762600, F4, 22, 22) (dual of [(762600, 22), 16777007, 23]-NRT-code) | [i] | OA Folding and Stacking | |