Information on Result #686892
Linear OA(8148, 32805, F8, 32) (dual of [32805, 32657, 33]-code), using construction X applied to Ce(32) ⊂ Ce(25) based on
- linear OA(8141, 32768, F8, 33) (dual of [32768, 32627, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(8111, 32768, F8, 26) (dual of [32768, 32657, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(87, 37, F8, 5) (dual of [37, 30, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(87, 57, F8, 5) (dual of [57, 50, 6]-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(8149, 32806, F8, 32) (dual of [32806, 32657, 33]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(8150, 32807, F8, 32) (dual of [32807, 32657, 33]-code) | [i] | ||
| 3 | Linear OOA(8148, 16402, F8, 2, 32) (dual of [(16402, 2), 32656, 33]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(8148, 10935, F8, 3, 32) (dual of [(10935, 3), 32657, 33]-NRT-code) | [i] | ||
| 5 | Linear OOA(8148, 2050, F8, 32, 32) (dual of [(2050, 32), 65452, 33]-NRT-code) | [i] | OA Folding and Stacking | |