Information on Result #731787
Linear OA(8124, 133, F8, 94) (dual of [133, 9, 95]-code), using juxtaposition based on
- linear OA(856, 65, F8, 46) (dual of [65, 9, 47]-code), using
- linear OA(859, 68, F8, 47) (dual of [68, 9, 48]-code), using
- construction X applied to Ce(46) ⊂ Ce(44) [i] based on
- linear OA(858, 64, F8, 47) (dual of [64, 6, 48]-code), using an extension Ce(46) of the primitive narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [1,46], and designed minimum distance d ≥ |I|+1 = 47 [i]
- linear OA(855, 64, F8, 45) (dual of [64, 9, 46]-code), using an extension Ce(44) of the primitive narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [1,44], and designed minimum distance d ≥ |I|+1 = 45 [i]
- linear OA(81, 4, F8, 1) (dual of [4, 3, 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
- construction X applied to Ce(46) ⊂ Ce(44) [i] based on
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(8124, 133, F8, 93) (dual of [133, 9, 94]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(8124, 133, F8, 92) (dual of [133, 9, 93]-code) | [i] | ||
| 3 | Linear OA(8123, 132, F8, 93) (dual of [132, 9, 94]-code) | [i] | Truncation | |
| 4 | Linear OA(8122, 131, F8, 92) (dual of [131, 9, 93]-code) | [i] | ||