Information on Result #688769
Linear OA(859, 68, F8, 47) (dual of [68, 9, 48]-code), using construction X applied to Ce(46) ⊂ Ce(44) 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
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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(859, 68, F8, 46) (dual of [68, 9, 47]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(859, 68, F8, 45) (dual of [68, 9, 46]-code) | [i] | ||
| 3 | Linear OA(858, 67, F8, 46) (dual of [67, 9, 47]-code) | [i] | Truncation | |
| 4 | Linear OA(857, 66, F8, 45) (dual of [66, 9, 46]-code) | [i] | ||
| 5 | Linear OA(8125, 132, F8, 95) (dual of [132, 7, 96]-code) | [i] | Repeating Each Code Word | |
| 6 | Linear OA(8127, 136, F8, 95) (dual of [136, 9, 96]-code) | [i] | ||
| 7 | Linear OA(8124, 133, F8, 94) (dual of [133, 9, 95]-code) | [i] | Juxtaposition | |
| 8 | Linear OA(8138, 147, F8, 103) (dual of [147, 9, 104]-code) | [i] | ||
| 9 | Linear OOA(859, 34, F8, 2, 47) (dual of [(34, 2), 9, 48]-NRT-code) | [i] | OOA Folding | |