Information on Result #686949
Linear OA(8162, 32829, F8, 34) (dual of [32829, 32667, 35]-code), using construction X applied to Ce(33) ⊂ Ce(22) based on
- linear OA(8146, 32768, F8, 34) (dual of [32768, 32622, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(8101, 32768, F8, 23) (dual of [32768, 32667, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(816, 61, F8, 10) (dual of [61, 45, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(816, 63, F8, 10) (dual of [63, 47, 11]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [0,9], and designed minimum distance d ≥ |I|+1 = 11 [i]
- discarding factors / shortening the dual code based on linear OA(816, 63, F8, 10) (dual of [63, 47, 11]-code), 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(8163, 32830, F8, 34) (dual of [32830, 32667, 35]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(8162, 16414, F8, 2, 34) (dual of [(16414, 2), 32666, 35]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(8162, 10943, F8, 3, 34) (dual of [(10943, 3), 32667, 35]-NRT-code) | [i] | ||
| 4 | Linear OOA(8162, 1931, F8, 34, 34) (dual of [(1931, 34), 65492, 35]-NRT-code) | [i] | OA Folding and Stacking | |