Information on Result #698708
Linear OA(6467, 4098, F64, 34) (dual of [4098, 4031, 35]-code), using construction X applied to Ce(33) ⊂ Ce(32) based on
- 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(6465, 4096, F64, 33) (dual of [4096, 4031, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [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(8134, 8196, F8, 34) (dual of [8196, 8062, 35]-code) | [i] | Trace Code | |
| 2 | OA(3281, 4098, S32, 34) | [i] | Discarding Parts of the Base for OAs | |
| 3 | Linear OA(6484, 4163, F64, 34) (dual of [4163, 4079, 35]-code) | [i] | (u, u+v)-Construction | |
| 4 | Linear OA(6485, 4178, F64, 34) (dual of [4178, 4093, 35]-code) | [i] | ||
| 5 | Linear OA(6486, 4180, F64, 34) (dual of [4180, 4094, 35]-code) | [i] | ||
| 6 | Linear OA(6487, 4202, F64, 34) (dual of [4202, 4115, 35]-code) | [i] | ||
| 7 | Linear OA(6488, 4204, F64, 34) (dual of [4204, 4116, 35]-code) | [i] | ||
| 8 | Linear OA(6489, 4226, F64, 34) (dual of [4226, 4137, 35]-code) | [i] | ||
| 9 | Linear OA(6490, 4228, F64, 34) (dual of [4228, 4138, 35]-code) | [i] | ||
| 10 | Linear OA(6491, 4275, F64, 34) (dual of [4275, 4184, 35]-code) | [i] | ||
| 11 | Linear OA(6475, 4131, F64, 34) (dual of [4131, 4056, 35]-code) | [i] | Varšamov–Edel Lengthening | |
| 12 | Linear OA(6476, 4166, F64, 34) (dual of [4166, 4090, 35]-code) | [i] | ||
| 13 | Linear OA(6477, 4239, F64, 34) (dual of [4239, 4162, 35]-code) | [i] | ||
| 14 | Linear OA(6478, 4381, F64, 34) (dual of [4381, 4303, 35]-code) | [i] | ||
| 15 | Linear OA(6479, 4642, F64, 34) (dual of [4642, 4563, 35]-code) | [i] | ||
| 16 | Linear OA(6480, 5078, F64, 34) (dual of [5078, 4998, 35]-code) | [i] | ||
| 17 | Linear OOA(6467, 2049, F64, 2, 34) (dual of [(2049, 2), 4031, 35]-NRT-code) | [i] | OOA Folding | |
| 18 | Linear OOA(6467, 1366, F64, 3, 34) (dual of [(1366, 3), 4031, 35]-NRT-code) | [i] | ||