Information on Result #698597
Linear OA(6462, 4102, F64, 31) (dual of [4102, 4040, 32]-code), using construction X applied to C([0,15]) ⊂ C([0,14]) based on
- linear OA(6461, 4097, F64, 31) (dual of [4097, 4036, 32]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 644−1, defining interval I = [0,15], and minimum distance d ≥ |{−15,−14,…,15}|+1 = 32 (BCH-bound) [i]
- linear OA(6457, 4097, F64, 29) (dual of [4097, 4040, 30]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 644−1, defining interval I = [0,14], and minimum distance d ≥ |{−14,−13,…,14}|+1 = 30 (BCH-bound) [i]
- linear OA(641, 5, F64, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(641, s, F64, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
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(8124, 8204, F8, 31) (dual of [8204, 8080, 32]-code) | [i] | Trace Code | |
| 2 | OA(3275, 4102, S32, 31) | [i] | Discarding Parts of the Base for OAs | |
| 3 | Linear OA(6478, 4182, F64, 31) (dual of [4182, 4104, 32]-code) | [i] | (u, u+v)-Construction | |
| 4 | Linear OA(6480, 4206, F64, 31) (dual of [4206, 4126, 32]-code) | [i] | ||
| 5 | Linear OA(6482, 4230, F64, 31) (dual of [4230, 4148, 32]-code) | [i] | ||
| 6 | Linear OA(6484, 4279, F64, 31) (dual of [4279, 4195, 32]-code) | [i] | ||
| 7 | Linear OA(6485, 4281, F64, 31) (dual of [4281, 4196, 32]-code) | [i] | ||
| 8 | Linear OA(6487, 4301, F64, 31) (dual of [4301, 4214, 32]-code) | [i] | ||
| 9 | Linear OA(6469, 4137, F64, 31) (dual of [4137, 4068, 32]-code) | [i] | Varšamov–Edel Lengthening | |
| 10 | Linear OA(6470, 4179, F64, 31) (dual of [4179, 4109, 32]-code) | [i] | ||
| 11 | Linear OA(6471, 4274, F64, 31) (dual of [4274, 4203, 32]-code) | [i] | ||
| 12 | Linear OA(6472, 4476, F64, 31) (dual of [4476, 4404, 32]-code) | [i] | ||
| 13 | Linear OA(6473, 4867, F64, 31) (dual of [4867, 4794, 32]-code) | [i] | ||
| 14 | Linear OOA(6462, 2051, F64, 2, 31) (dual of [(2051, 2), 4040, 32]-NRT-code) | [i] | OOA Folding | |
| 15 | Linear OOA(6462, 1367, F64, 3, 31) (dual of [(1367, 3), 4039, 32]-NRT-code) | [i] | ||