Information on Result #893908
Linear OOA(4123, large, F4, 2, 11), using trace code based on linear OOA(6441, 4194301, F64, 2, 11) (dual of [(4194301, 2), 8388561, 12]-NRT-code), using
- OOA 2-folding [i] based on linear OA(6441, 8388602, F64, 11) (dual of [8388602, 8388561, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(6441, large, F64, 11) (dual of [large, large−41, 12]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 648−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(6441, large, F64, 11) (dual of [large, large−41, 12]-code), using
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 OOA(4123, large, F4, 2, 10) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(4123, large, F4, 2, 9) | [i] | ||
| 3 | Linear OOA(4123, large, F4, 2, 8) | [i] | ||
| 4 | Linear OOA(4123, large, F4, 2, 7) | [i] | ||
| 5 | Linear OOA(4123, large, F4, 2, 6) | [i] | ||
| 6 | Linear OOA(4123, large, F4, 2, 5) | [i] | ||
| 7 | Linear OOA(4123, large, F4, 2, 4) | [i] | ||
| 8 | Linear OOA(4123, large, F4, 2, 3) | [i] | ||
| 9 | Linear OOA(4125, large, F4, 2, 11) | [i] | NRT-Code Embedding in Larger Space | |
| 10 | Linear OOA(4127, large, F4, 2, 11) | [i] | ||
| 11 | Linear OOA(4129, large, F4, 2, 11) | [i] | ||
| 12 | Linear OOA(4131, large, F4, 2, 11) | [i] | ||
| 13 | Linear OOA(4133, large, F4, 2, 11) | [i] | ||
| 14 | Linear OOA(4137, large, F4, 2, 11) | [i] | ||
| 15 | Linear OOA(4139, large, F4, 2, 11) | [i] | ||
| 16 | Linear OOA(4141, large, F4, 2, 11) | [i] | ||
| 17 | Linear OOA(4143, large, F4, 2, 11) | [i] | ||
| 18 | Linear OOA(4145, large, F4, 2, 11) | [i] | ||
| 19 | Linear OOA(4149, large, F4, 2, 11) | [i] | ||
| 20 | Linear OOA(4151, large, F4, 2, 11) | [i] | ||
| 21 | Linear OOA(4153, large, F4, 2, 11) | [i] | ||
| 22 | Linear OOA(4155, large, F4, 2, 11) | [i] | ||
| 23 | Linear OOA(4157, large, F4, 2, 11) | [i] | ||
| 24 | Linear OOA(4161, large, F4, 2, 11) | [i] | ||
| 25 | Linear OOA(4163, large, F4, 2, 11) | [i] | ||
| 26 | Linear OOA(4165, large, F4, 2, 11) | [i] | ||
| 27 | Linear OOA(4167, large, F4, 2, 11) | [i] | ||
| 28 | Linear OOA(4169, large, F4, 2, 11) | [i] | ||
| 29 | Linear OOA(4173, large, F4, 2, 11) | [i] | ||
| 30 | Linear OOA(4175, large, F4, 2, 11) | [i] | ||
| 31 | Linear OOA(4177, large, F4, 2, 11) | [i] | ||
| 32 | Linear OOA(4179, large, F4, 2, 11) | [i] | ||
| 33 | Linear OOA(4181, large, F4, 2, 11) | [i] | ||
| 34 | Linear OOA(4183, large, F4, 2, 11) | [i] | ||
| 35 | Linear OOA(4185, large, F4, 2, 11) | [i] | ||
| 36 | Linear OOA(4187, large, F4, 2, 11) | [i] | ||
| 37 | Linear OOA(4189, large, F4, 2, 11) | [i] | ||
| 38 | Linear OOA(4191, large, F4, 2, 11) | [i] | ||
| 39 | Linear OOA(4193, large, F4, 2, 11) | [i] | ||
| 40 | Linear OOA(4195, large, F4, 2, 11) | [i] | ||
| 41 | Linear OOA(4197, large, F4, 2, 11) | [i] | ||
| 42 | Linear OOA(4199, large, F4, 2, 11) | [i] | ||
| 43 | Linear OOA(4201, large, F4, 2, 11) | [i] | ||
| 44 | Linear OOA(4203, large, F4, 2, 11) | [i] | ||
| 45 | Linear OOA(4205, large, F4, 2, 11) | [i] | ||
| 46 | Linear OOA(4207, large, F4, 2, 11) | [i] | ||
| 47 | Linear OOA(4209, large, F4, 2, 11) | [i] | ||
| 48 | Linear OOA(4211, large, F4, 2, 11) | [i] | ||
| 49 | Linear OOA(4213, large, F4, 2, 11) | [i] | ||
| 50 | Linear OOA(4215, large, F4, 2, 11) | [i] | ||
| 51 | Linear OOA(4217, large, F4, 2, 11) | [i] | ||
| 52 | Linear OOA(4219, large, F4, 2, 11) | [i] | ||
| 53 | Linear OOA(4221, large, F4, 2, 11) | [i] | ||
| 54 | Linear OOA(4223, large, F4, 2, 11) | [i] | ||
| 55 | Linear OOA(4225, large, F4, 2, 11) | [i] | ||
| 56 | Linear OOA(4227, large, F4, 2, 11) | [i] | ||
| 57 | Linear OOA(4229, large, F4, 2, 11) | [i] | ||
| 58 | Linear OOA(4231, large, F4, 2, 11) | [i] | ||
| 59 | Linear OOA(4233, large, F4, 2, 11) | [i] | ||
| 60 | Linear OOA(4235, large, F4, 2, 11) | [i] | ||
| 61 | Linear OOA(4237, large, F4, 2, 11) | [i] | ||
| 62 | Linear OOA(4239, large, F4, 2, 11) | [i] | ||
| 63 | Linear OOA(4241, large, F4, 2, 11) | [i] | ||
| 64 | Linear OOA(4243, large, F4, 2, 11) | [i] | ||
| 65 | Linear OOA(4245, large, F4, 2, 11) | [i] | ||
| 66 | Linear OOA(4247, large, F4, 2, 11) | [i] | ||
| 67 | Linear OOA(4249, large, F4, 2, 11) | [i] | ||
| 68 | Linear OOA(4251, large, F4, 2, 11) | [i] | ||
| 69 | Linear OOA(4253, large, F4, 2, 11) | [i] | ||
| 70 | Linear OOA(4255, large, F4, 2, 11) | [i] | ||
| 71 | Linear OOA(4257, large, F4, 2, 11) | [i] | ||
| 72 | Linear OOA(4259, large, F4, 2, 11) | [i] | ||
| 73 | Linear OOA(4124, large, F4, 2, 11) | [i] | OOA Duplication | |