Information on Result #902253
Linear OOA(3270, 16431, F32, 2, 20) (dual of [(16431, 2), 32792, 21]-NRT-code), using (u, u+v)-construction based on
- linear OOA(3211, 44, F32, 2, 10) (dual of [(44, 2), 77, 11]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,77P) [i] based on function field F/F32 with g(F) = 1 and N(F) ≥ 44, using
- linear OOA(3259, 16387, F32, 2, 20) (dual of [(16387, 2), 32715, 21]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3259, 32774, F32, 20) (dual of [32774, 32715, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(3259, 32775, F32, 20) (dual of [32775, 32716, 21]-code), using
- construction X applied to Ce(19) ⊂ Ce(17) [i] based on
- linear OA(3258, 32768, F32, 20) (dual of [32768, 32710, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(3252, 32768, F32, 18) (dual of [32768, 32716, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(321, 7, F32, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(321, s, F32, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(19) ⊂ Ce(17) [i] based on
- discarding factors / shortening the dual code based on linear OA(3259, 32775, F32, 20) (dual of [32775, 32716, 21]-code), using
- OOA 2-folding [i] based on linear OA(3259, 32774, F32, 20) (dual of [32774, 32715, 21]-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(3270, 3286, F32, 22, 20) (dual of [(3286, 22), 72222, 21]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |