Information on Result #902625
Linear OOA(32110, 16427, F32, 2, 32) (dual of [(16427, 2), 32744, 33]-NRT-code), using (u, u+v)-construction based on
- linear OOA(3217, 44, F32, 2, 16) (dual of [(44, 2), 71, 17]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,71P) [i] based on function field F/F32 with g(F) = 1 and N(F) ≥ 44, using
- linear OOA(3293, 16383, F32, 2, 32) (dual of [(16383, 2), 32673, 33]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3293, 32766, F32, 32) (dual of [32766, 32673, 33]-code), using
- discarding factors / shortening the dual code based on linear OA(3293, 32767, F32, 32) (dual of [32767, 32674, 33]-code), using
- 1 times truncation [i] based on linear OA(3294, 32768, F32, 33) (dual of [32768, 32674, 34]-code), using
- an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
- 1 times truncation [i] based on linear OA(3294, 32768, F32, 33) (dual of [32768, 32674, 34]-code), using
- discarding factors / shortening the dual code based on linear OA(3293, 32767, F32, 32) (dual of [32767, 32674, 33]-code), using
- OOA 2-folding [i] based on linear OA(3293, 32766, F32, 32) (dual of [32766, 32673, 33]-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(32110, 2053, F32, 34, 32) (dual of [(2053, 34), 69692, 33]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |