Information on Result #696673
Linear OA(3263, 1048609, F32, 15) (dual of [1048609, 1048546, 16]-code), using construction X applied to Ce(14) ⊂ Ce(7) based on
- linear OA(3257, 1048576, F32, 15) (dual of [1048576, 1048519, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 324−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(3229, 1048576, F32, 8) (dual of [1048576, 1048547, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 324−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(326, 33, F32, 6) (dual of [33, 27, 7]-code or 33-arc in PG(5,32)), using
- extended Reed–Solomon code RSe(27,32) [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(3263, 524304, F32, 2, 15) (dual of [(524304, 2), 1048545, 16]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(3263, 149801, F32, 15, 15) (dual of [(149801, 15), 2246952, 16]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |