Information on Result #893903
Linear OOA(463, large, F4, 2, 6), using trace code based on linear OOA(6421, 4194301, F64, 2, 6) (dual of [(4194301, 2), 8388581, 7]-NRT-code), using
- OOA 2-folding [i] based on linear OA(6421, 8388602, F64, 6) (dual of [8388602, 8388581, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(6421, large, F64, 6) (dual of [large, large−21, 7]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 644−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7 [i]
- discarding factors / shortening the dual code based on linear OA(6421, large, F64, 6) (dual of [large, large−21, 7]-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(463, large, F4, 2, 5) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(463, large, F4, 2, 4) | [i] | ||
| 3 | Linear OOA(463, large, F4, 2, 3) | [i] | ||
| 4 | Linear OOA(465, large, F4, 2, 6) | [i] | NRT-Code Embedding in Larger Space | |
| 5 | Linear OOA(467, large, F4, 2, 6) | [i] | ||
| 6 | Linear OOA(469, large, F4, 2, 6) | [i] | ||
| 7 | Linear OOA(471, large, F4, 2, 6) | [i] | ||
| 8 | Linear OOA(473, large, F4, 2, 6) | [i] | ||
| 9 | Linear OOA(477, large, F4, 2, 6) | [i] | ||
| 10 | Linear OOA(479, large, F4, 2, 6) | [i] | ||
| 11 | Linear OOA(481, large, F4, 2, 6) | [i] | ||
| 12 | Linear OOA(483, large, F4, 2, 6) | [i] | ||
| 13 | Linear OOA(485, large, F4, 2, 6) | [i] | ||
| 14 | Linear OOA(489, large, F4, 2, 6) | [i] | ||
| 15 | Linear OOA(491, large, F4, 2, 6) | [i] | ||
| 16 | Linear OOA(493, large, F4, 2, 6) | [i] | ||
| 17 | Linear OOA(495, large, F4, 2, 6) | [i] | ||
| 18 | Linear OOA(497, large, F4, 2, 6) | [i] | ||
| 19 | Linear OOA(4101, large, F4, 2, 6) | [i] | ||
| 20 | Linear OOA(4103, large, F4, 2, 6) | [i] | ||
| 21 | Linear OOA(4105, large, F4, 2, 6) | [i] | ||
| 22 | Linear OOA(4107, large, F4, 2, 6) | [i] | ||
| 23 | Linear OOA(4109, large, F4, 2, 6) | [i] | ||
| 24 | Linear OOA(4113, large, F4, 2, 6) | [i] | ||
| 25 | Linear OOA(4115, large, F4, 2, 6) | [i] | ||
| 26 | Linear OOA(4117, large, F4, 2, 6) | [i] | ||
| 27 | Linear OOA(4119, large, F4, 2, 6) | [i] | ||
| 28 | Linear OOA(4121, large, F4, 2, 6) | [i] | ||
| 29 | Linear OOA(4125, large, F4, 2, 6) | [i] | ||
| 30 | Linear OOA(4127, large, F4, 2, 6) | [i] | ||
| 31 | Linear OOA(4129, large, F4, 2, 6) | [i] | ||
| 32 | Linear OOA(4131, large, F4, 2, 6) | [i] | ||
| 33 | Linear OOA(4133, large, F4, 2, 6) | [i] | ||
| 34 | Linear OOA(4137, large, F4, 2, 6) | [i] | ||
| 35 | Linear OOA(4139, large, F4, 2, 6) | [i] | ||
| 36 | Linear OOA(4141, large, F4, 2, 6) | [i] | ||
| 37 | Linear OOA(4143, large, F4, 2, 6) | [i] | ||
| 38 | Linear OOA(4145, large, F4, 2, 6) | [i] | ||
| 39 | Linear OOA(4149, large, F4, 2, 6) | [i] | ||
| 40 | Linear OOA(4151, large, F4, 2, 6) | [i] | ||
| 41 | Linear OOA(4153, large, F4, 2, 6) | [i] | ||
| 42 | Linear OOA(4155, large, F4, 2, 6) | [i] | ||
| 43 | Linear OOA(4157, large, F4, 2, 6) | [i] | ||
| 44 | Linear OOA(4161, large, F4, 2, 6) | [i] | ||
| 45 | Linear OOA(4163, large, F4, 2, 6) | [i] | ||
| 46 | Linear OOA(4165, large, F4, 2, 6) | [i] | ||
| 47 | Linear OOA(4167, large, F4, 2, 6) | [i] | ||
| 48 | Linear OOA(4169, large, F4, 2, 6) | [i] | ||
| 49 | Linear OOA(4173, large, F4, 2, 6) | [i] | ||
| 50 | Linear OOA(4175, large, F4, 2, 6) | [i] | ||
| 51 | Linear OOA(4177, large, F4, 2, 6) | [i] | ||
| 52 | Linear OOA(4179, large, F4, 2, 6) | [i] | ||
| 53 | Linear OOA(4181, large, F4, 2, 6) | [i] | ||
| 54 | Linear OOA(4183, large, F4, 2, 6) | [i] | ||
| 55 | Linear OOA(4185, large, F4, 2, 6) | [i] | ||
| 56 | Linear OOA(4187, large, F4, 2, 6) | [i] | ||
| 57 | Linear OOA(4189, large, F4, 2, 6) | [i] | ||
| 58 | Linear OOA(4191, large, F4, 2, 6) | [i] | ||
| 59 | Linear OOA(4193, large, F4, 2, 6) | [i] | ||
| 60 | Linear OOA(4195, large, F4, 2, 6) | [i] | ||
| 61 | Linear OOA(4197, large, F4, 2, 6) | [i] | ||
| 62 | Linear OOA(4199, large, F4, 2, 6) | [i] | ||
| 63 | Linear OOA(4201, large, F4, 2, 6) | [i] | ||
| 64 | Linear OOA(4203, large, F4, 2, 6) | [i] | ||
| 65 | Linear OOA(4205, large, F4, 2, 6) | [i] | ||
| 66 | Linear OOA(4207, large, F4, 2, 6) | [i] | ||
| 67 | Linear OOA(4209, large, F4, 2, 6) | [i] | ||
| 68 | Linear OOA(4211, large, F4, 2, 6) | [i] | ||
| 69 | Linear OOA(4213, large, F4, 2, 6) | [i] | ||
| 70 | Linear OOA(4215, large, F4, 2, 6) | [i] | ||
| 71 | Linear OOA(4217, large, F4, 2, 6) | [i] | ||
| 72 | Linear OOA(4219, large, F4, 2, 6) | [i] | ||
| 73 | Linear OOA(4221, large, F4, 2, 6) | [i] | ||
| 74 | Linear OOA(4223, large, F4, 2, 6) | [i] | ||
| 75 | Linear OOA(4225, large, F4, 2, 6) | [i] | ||
| 76 | Linear OOA(4227, large, F4, 2, 6) | [i] | ||
| 77 | Linear OOA(4229, large, F4, 2, 6) | [i] | ||
| 78 | Linear OOA(4231, large, F4, 2, 6) | [i] | ||
| 79 | Linear OOA(4233, large, F4, 2, 6) | [i] | ||
| 80 | Linear OOA(4235, large, F4, 2, 6) | [i] | ||
| 81 | Linear OOA(4237, large, F4, 2, 6) | [i] | ||
| 82 | Linear OOA(4239, large, F4, 2, 6) | [i] | ||
| 83 | Linear OOA(4241, large, F4, 2, 6) | [i] | ||
| 84 | Linear OOA(4243, large, F4, 2, 6) | [i] | ||
| 85 | Linear OOA(4245, large, F4, 2, 6) | [i] | ||
| 86 | Linear OOA(4247, large, F4, 2, 6) | [i] | ||
| 87 | Linear OOA(4249, large, F4, 2, 6) | [i] | ||
| 88 | Linear OOA(4251, large, F4, 2, 6) | [i] | ||
| 89 | Linear OOA(4253, large, F4, 2, 6) | [i] | ||
| 90 | Linear OOA(4255, large, F4, 2, 6) | [i] | ||
| 91 | Linear OOA(4257, large, F4, 2, 6) | [i] | ||
| 92 | Linear OOA(4259, large, F4, 2, 6) | [i] | ||
| 93 | Linear OOA(464, large, F4, 2, 6) | [i] | OOA Duplication | |