Information on Result #686456
Linear OA(844, 262151, F8, 9) (dual of [262151, 262107, 10]-code), using construction X applied to Ce(8) ⊂ Ce(6) based on
- linear OA(843, 262144, F8, 9) (dual of [262144, 262101, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(837, 262144, F8, 7) (dual of [262144, 262107, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(81, 7, F8, 1) (dual of [7, 6, 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(843, 262150, F8, 8) (dual of [262150, 262107, 9]-code) | [i] | Truncation | |
| 2 | Linear OOA(844, 170359, F8, 2, 9) (dual of [(170359, 2), 340674, 10]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(844, 170359, F8, 3, 9) (dual of [(170359, 3), 511033, 10]-NRT-code) | [i] | ||
| 4 | Digital (35, 44, 170359)-net over F8 | [i] | ||
| 5 | Linear OOA(844, 131075, F8, 2, 9) (dual of [(131075, 2), 262106, 10]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(844, 87383, F8, 3, 9) (dual of [(87383, 3), 262105, 10]-NRT-code) | [i] | ||
| 7 | Linear OOA(844, 65537, F8, 9, 9) (dual of [(65537, 9), 589789, 10]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |