Information on Result #686795
Linear OA(838, 32777, F8, 9) (dual of [32777, 32739, 10]-code), using construction X applied to Ce(8) ⊂ Ce(5) based on
- linear OA(836, 32768, F8, 9) (dual of [32768, 32732, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(826, 32768, F8, 6) (dual of [32768, 32742, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(82, 9, F8, 2) (dual of [9, 7, 3]-code or 9-arc in PG(1,8)), using
- extended Reed–Solomon code RSe(7,8) [i]
- Hamming code H(2,8) [i]
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 OOA(838, 28658, F8, 2, 9) (dual of [(28658, 2), 57278, 10]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(838, 28658, F8, 3, 9) (dual of [(28658, 3), 85936, 10]-NRT-code) | [i] | ||
| 3 | Digital (29, 38, 28658)-net over F8 | [i] | ||
| 4 | Linear OOA(838, 16388, F8, 2, 9) (dual of [(16388, 2), 32738, 10]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(838, 10925, F8, 3, 9) (dual of [(10925, 3), 32737, 10]-NRT-code) | [i] | ||
| 6 | Linear OOA(838, 8194, F8, 9, 9) (dual of [(8194, 9), 73708, 10]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |