Information on Result #698771
Linear OA(6420, 4101, F64, 10) (dual of [4101, 4081, 11]-code), using construction X applied to Ce(9) ⊂ Ce(7) based on
- linear OA(6419, 4096, F64, 10) (dual of [4096, 4077, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(6415, 4096, F64, 8) (dual of [4096, 4081, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [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(840, 8202, F8, 10) (dual of [8202, 8162, 11]-code) | [i] | Trace Code | |
| 2 | OA(3224, 4101, S32, 10) | [i] | Discarding Parts of the Base for OAs | |
| 3 | Linear OA(6422, 4114, F64, 10) (dual of [4114, 4092, 11]-code) | [i] | Varšamov–Edel Lengthening | |
| 4 | Linear OA(6423, 4205, F64, 10) (dual of [4205, 4182, 11]-code) | [i] | ||
| 5 | Linear OA(6424, 4800, F64, 10) (dual of [4800, 4776, 11]-code) | [i] | ||
| 6 | Linear OA(6425, 6905, F64, 10) (dual of [6905, 6880, 11]-code) | [i] | ||
| 7 | Linear OOA(6420, 2050, F64, 2, 10) (dual of [(2050, 2), 4080, 11]-NRT-code) | [i] | OOA Folding | |
| 8 | Linear OOA(6420, 1367, F64, 3, 10) (dual of [(1367, 3), 4081, 11]-NRT-code) | [i] | ||
| 9 | Linear OOA(6420, 820, F64, 10, 10) (dual of [(820, 10), 8180, 11]-NRT-code) | [i] | OA Folding and Stacking | |