Information on Result #735061
Linear OA(6459, 262344, F64, 16) (dual of [262344, 262285, 17]-code), using (u, u+v)-construction based on
- linear OA(6413, 197, F64, 8) (dual of [197, 184, 9]-code), using
- construction X applied to C([61,68]) ⊂ C([62,68]) [i] based on
- linear OA(6413, 195, F64, 8) (dual of [195, 182, 9]-code), using the BCH-code C(I) with length 195 | 642−1, defining interval I = {61,62,…,68}, and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(6411, 195, F64, 7) (dual of [195, 184, 8]-code), using the BCH-code C(I) with length 195 | 642−1, defining interval I = {62,63,…,68}, and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(640, 2, F64, 0) (dual of [2, 2, 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 C([61,68]) ⊂ C([62,68]) [i] based on
- linear OA(6446, 262147, F64, 16) (dual of [262147, 262101, 17]-code), using
- construction X applied to Ce(15) ⊂ Ce(14) [i] based on
- 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(6443, 262144, F64, 15) (dual of [262144, 262101, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [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 (see above)
- construction X applied to Ce(15) ⊂ Ce(14) [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(6459, 131172, F64, 2, 16) (dual of [(131172, 2), 262285, 17]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(6459, 87448, F64, 3, 16) (dual of [(87448, 3), 262285, 17]-NRT-code) | [i] | ||