Information on Result #697010
Linear OA(32102, 32801, F32, 32) (dual of [32801, 32699, 33]-code), using construction X applied to Ce(32) ⊂ Ce(22) based on
- linear OA(3294, 32768, F32, 33) (dual of [32768, 32674, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(3267, 32768, F32, 23) (dual of [32768, 32701, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(328, 33, F32, 8) (dual of [33, 25, 9]-code or 33-arc in PG(7,32)), using
- extended Reed–Solomon code RSe(25,32) [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(32102, 16400, F32, 2, 32) (dual of [(16400, 2), 32698, 33]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(32102, 2050, F32, 32, 32) (dual of [(2050, 32), 65498, 33]-NRT-code) | [i] | OA Folding and Stacking | |