Information on Result #698705
Linear OA(6471, 4098, F64, 36) (dual of [4098, 4027, 37]-code), using construction X applied to Ce(35) ⊂ Ce(34) based on
- linear OA(6471, 4096, F64, 36) (dual of [4096, 4025, 37]-code), using an extension Ce(35) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,35], and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(6469, 4096, F64, 35) (dual of [4096, 4027, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(640, 2, F64, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(640, s, F64, 0) (dual of [s, s, 1]-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(8142, 8196, F8, 36) (dual of [8196, 8054, 37]-code) | [i] | Trace Code | |
| 2 | OA(3286, 4098, S32, 36) | [i] | Discarding Parts of the Base for OAs | |
| 3 | Linear OA(6489, 4163, F64, 36) (dual of [4163, 4074, 37]-code) | [i] | (u, u+v)-Construction | |
| 4 | Linear OA(6490, 4178, F64, 36) (dual of [4178, 4088, 37]-code) | [i] | ||
| 5 | Linear OA(6491, 4180, F64, 36) (dual of [4180, 4089, 37]-code) | [i] | ||
| 6 | Linear OA(6479, 4128, F64, 36) (dual of [4128, 4049, 37]-code) | [i] | Varšamov–Edel Lengthening | |
| 7 | Linear OA(6480, 4156, F64, 36) (dual of [4156, 4076, 37]-code) | [i] | ||
| 8 | Linear OA(6481, 4213, F64, 36) (dual of [4213, 4132, 37]-code) | [i] | ||
| 9 | Linear OA(6482, 4323, F64, 36) (dual of [4323, 4241, 37]-code) | [i] | ||
| 10 | Linear OA(6483, 4529, F64, 36) (dual of [4529, 4446, 37]-code) | [i] | ||
| 11 | Linear OA(6484, 4884, F64, 36) (dual of [4884, 4800, 37]-code) | [i] | ||
| 12 | Linear OA(6485, 5411, F64, 36) (dual of [5411, 5326, 37]-code) | [i] | ||
| 13 | Linear OOA(6471, 2049, F64, 2, 36) (dual of [(2049, 2), 4027, 37]-NRT-code) | [i] | OOA Folding | |
| 14 | Linear OOA(6471, 1366, F64, 3, 36) (dual of [(1366, 3), 4027, 37]-NRT-code) | [i] | ||