Information on Result #698707
Linear OA(6469, 4098, F64, 35) (dual of [4098, 4029, 36]-code), using construction X applied to Ce(34) ⊂ Ce(33) based on
- 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(6467, 4096, F64, 34) (dual of [4096, 4029, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [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(8138, 8196, F8, 35) (dual of [8196, 8058, 36]-code) | [i] | Trace Code | |
| 2 | OA(3283, 4098, S32, 35) | [i] | Discarding Parts of the Base for OAs | |
| 3 | Linear OA(6486, 4163, F64, 35) (dual of [4163, 4077, 36]-code) | [i] | (u, u+v)-Construction | |
| 4 | Linear OA(6487, 4178, F64, 35) (dual of [4178, 4091, 36]-code) | [i] | ||
| 5 | Linear OA(6488, 4180, F64, 35) (dual of [4180, 4092, 36]-code) | [i] | ||
| 6 | Linear OA(6489, 4202, F64, 35) (dual of [4202, 4113, 36]-code) | [i] | ||
| 7 | Linear OA(6490, 4204, F64, 35) (dual of [4204, 4114, 36]-code) | [i] | ||
| 8 | Linear OA(6491, 4226, F64, 35) (dual of [4226, 4135, 36]-code) | [i] | ||
| 9 | Linear OA(6477, 4129, F64, 35) (dual of [4129, 4052, 36]-code) | [i] | Varšamov–Edel Lengthening | |
| 10 | Linear OA(6478, 4162, F64, 35) (dual of [4162, 4084, 36]-code) | [i] | ||
| 11 | Linear OA(6479, 4226, F64, 35) (dual of [4226, 4147, 36]-code) | [i] | ||
| 12 | Linear OA(6480, 4350, F64, 35) (dual of [4350, 4270, 36]-code) | [i] | ||
| 13 | Linear OA(6481, 4582, F64, 35) (dual of [4582, 4501, 36]-code) | [i] | ||
| 14 | Linear OA(6482, 4974, F64, 35) (dual of [4974, 4892, 36]-code) | [i] | ||
| 15 | Linear OA(6483, 5544, F64, 35) (dual of [5544, 5461, 36]-code) | [i] | ||
| 16 | Linear OOA(6469, 2049, F64, 2, 35) (dual of [(2049, 2), 4029, 36]-NRT-code) | [i] | OOA Folding | |
| 17 | Linear OOA(6469, 1366, F64, 3, 35) (dual of [(1366, 3), 4029, 36]-NRT-code) | [i] | ||