Information on Result #906861
Linear OOA(3245, 612, F32, 2, 16) (dual of [(612, 2), 1179, 17]-NRT-code), using (u, u+v)-construction based on
- linear OOA(3214, 99, F32, 2, 8) (dual of [(99, 2), 184, 9]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- linear OOA(322, 33, F32, 2, 2) (dual of [(33, 2), 64, 3]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;64,32) [i]
- linear OOA(324, 33, F32, 2, 4) (dual of [(33, 2), 62, 5]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;62,32) [i]
- linear OOA(328, 33, F32, 2, 8) (dual of [(33, 2), 58, 9]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;58,32) [i]
- linear OOA(322, 33, F32, 2, 2) (dual of [(33, 2), 64, 3]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- linear OOA(3231, 513, F32, 2, 16) (dual of [(513, 2), 995, 17]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3231, 1026, F32, 16) (dual of [1026, 995, 17]-code), using
- construction X applied to Ce(15) ⊂ Ce(14) [i] based on
- linear OA(3231, 1024, F32, 16) (dual of [1024, 993, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(3229, 1024, F32, 15) (dual of [1024, 995, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(320, 2, F32, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(320, s, F32, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(15) ⊂ Ce(14) [i] based on
- OOA 2-folding [i] based on linear OA(3231, 1026, F32, 16) (dual of [1026, 995, 17]-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(3245, 152, F32, 18, 16) (dual of [(152, 18), 2691, 17]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |