Information on Result #699380
Linear OA(8169, 6563, F81, 35) (dual of [6563, 6494, 36]-code), using construction X applied to Ce(34) ⊂ Ce(33) based on
- linear OA(8169, 6561, F81, 35) (dual of [6561, 6492, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(8167, 6561, F81, 34) (dual of [6561, 6494, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(810, 2, F81, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(810, s, F81, 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(9138, 13126, F9, 35) (dual of [13126, 12988, 36]-code) | [i] | Trace Code | |
| 2 | OA(2792, 6563, S27, 35) | [i] | Discarding Parts of the Base for OAs | |
| 3 | Linear OOA(8169, 386, F81, 35, 35) (dual of [(386, 35), 13441, 36]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |