Information on Result #735046
Linear OA(6463, 262602, F64, 17) (dual of [262602, 262539, 18]-code), using (u, u+v)-construction based on
- linear OA(6414, 455, F64, 8) (dual of [455, 441, 9]-code), using
- linear OA(6449, 262147, F64, 17) (dual of [262147, 262098, 18]-code), using
- construction X applied to Ce(16) ⊂ Ce(15) [i] based on
- linear OA(6449, 262144, F64, 17) (dual of [262144, 262095, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(6446, 262144, F64, 16) (dual of [262144, 262098, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(640, 3, F64, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(640, s, F64, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(16) ⊂ Ce(15) [i] based on
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(6463, 131301, F64, 2, 17) (dual of [(131301, 2), 262539, 18]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(6463, 87534, F64, 3, 17) (dual of [(87534, 3), 262539, 18]-NRT-code) | [i] | ||
| 3 | Linear OOA(6463, 32825, F64, 17, 17) (dual of [(32825, 17), 557962, 18]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |