Information on Result #687155
Linear OA(8170, 4101, F8, 49) (dual of [4101, 3931, 50]-code), using construction X applied to Ce(48) ⊂ Ce(46) based on
- linear OA(8169, 4096, F8, 49) (dual of [4096, 3927, 50]-code), using an extension Ce(48) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,48], and designed minimum distance d ≥ |I|+1 = 49 [i]
- linear OA(8165, 4096, F8, 47) (dual of [4096, 3931, 48]-code), using an extension Ce(46) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,46], and designed minimum distance d ≥ |I|+1 = 47 [i]
- linear OA(81, 5, F8, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(81, s, F8, 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(8169, 4100, F8, 48) (dual of [4100, 3931, 49]-code) | [i] | Truncation | |
| 2 | Linear OOA(8170, 2050, F8, 2, 49) (dual of [(2050, 2), 3930, 50]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(8170, 1367, F8, 3, 49) (dual of [(1367, 3), 3931, 50]-NRT-code) | [i] | ||