Information on Result #903791
Linear OOA(6461, 131203, F64, 2, 17) (dual of [(131203, 2), 262345, 18]-NRT-code), using (u, u+v)-construction based on
- linear OOA(6412, 130, F64, 2, 8) (dual of [(130, 2), 248, 9]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(644, 65, F64, 2, 4) (dual of [(65, 2), 126, 5]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;126,64) [i]
- linear OOA(648, 65, F64, 2, 8) (dual of [(65, 2), 122, 9]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;122,64) [i]
- linear OOA(644, 65, F64, 2, 4) (dual of [(65, 2), 126, 5]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(6449, 131073, F64, 2, 17) (dual of [(131073, 2), 262097, 18]-NRT-code), using
- OOA 2-folding [i] based on linear OA(6449, 262146, F64, 17) (dual of [262146, 262097, 18]-code), using
- discarding factors / shortening the dual code based on 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
- discarding factors / shortening the dual code based on linear OA(6449, 262147, F64, 17) (dual of [262147, 262098, 18]-code), using
- OOA 2-folding [i] based on linear OA(6449, 262146, F64, 17) (dual of [262146, 262097, 18]-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 OOA(6461, 32800, F64, 18, 17) (dual of [(32800, 18), 590339, 18]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |