Information on Result #698766
Linear OA(6440, 4101, F64, 20) (dual of [4101, 4061, 21]-code), using construction X applied to Ce(19) ⊂ Ce(17) based on
- 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(6435, 4096, F64, 18) (dual of [4096, 4061, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [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(880, 8202, F8, 20) (dual of [8202, 8122, 21]-code) | [i] | Trace Code | |
| 2 | OA(3248, 4101, S32, 20) | [i] | Discarding Parts of the Base for OAs | |
| 3 | Linear OA(6451, 4181, F64, 20) (dual of [4181, 4130, 21]-code) | [i] | (u, u+v)-Construction | |
| 4 | Linear OA(6453, 4205, F64, 20) (dual of [4205, 4152, 21]-code) | [i] | ||
| 5 | Linear OOA(6440, 2050, F64, 2, 20) (dual of [(2050, 2), 4060, 21]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(6440, 1367, F64, 3, 20) (dual of [(1367, 3), 4061, 21]-NRT-code) | [i] | ||
| 7 | Linear OOA(6440, 410, F64, 20, 20) (dual of [(410, 20), 8160, 21]-NRT-code) | [i] | OA Folding and Stacking | |