Information on Result #698765
Linear OA(6444, 4101, F64, 22) (dual of [4101, 4057, 23]-code), using construction X applied to Ce(21) ⊂ Ce(19) based on
- linear OA(6443, 4096, F64, 22) (dual of [4096, 4053, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(6439, 4096, F64, 20) (dual of [4096, 4057, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [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(888, 8202, F8, 22) (dual of [8202, 8114, 23]-code) | [i] | Trace Code | |
| 2 | OA(3253, 4101, S32, 22) | [i] | Discarding Parts of the Base for OAs | |
| 3 | Linear OA(6456, 4181, F64, 22) (dual of [4181, 4125, 23]-code) | [i] | (u, u+v)-Construction | |
| 4 | Linear OA(6458, 4205, F64, 22) (dual of [4205, 4147, 23]-code) | [i] | ||
| 5 | Linear OA(6449, 4122, F64, 22) (dual of [4122, 4073, 23]-code) | [i] | Varšamov–Edel Lengthening | |
| 6 | Linear OA(6450, 4159, F64, 22) (dual of [4159, 4109, 23]-code) | [i] | ||
| 7 | Linear OA(6451, 4260, F64, 22) (dual of [4260, 4209, 23]-code) | [i] | ||
| 8 | Linear OA(6452, 4523, F64, 22) (dual of [4523, 4471, 23]-code) | [i] | ||
| 9 | Linear OA(6453, 5110, F64, 22) (dual of [5110, 5057, 23]-code) | [i] | ||
| 10 | Linear OOA(6444, 2050, F64, 2, 22) (dual of [(2050, 2), 4056, 23]-NRT-code) | [i] | OOA Folding | |
| 11 | Linear OOA(6444, 1367, F64, 3, 22) (dual of [(1367, 3), 4057, 23]-NRT-code) | [i] | ||