Information on Result #902290
Linear OOA(3273, 16432, F32, 2, 21) (dual of [(16432, 2), 32791, 22]-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(3262, 16388, F32, 2, 21) (dual of [(16388, 2), 32714, 22]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3262, 32776, F32, 21) (dual of [32776, 32714, 22]-code), using
- construction X applied to C([0,10]) ⊂ C([0,9]) [i] based on
- linear OA(3261, 32769, F32, 21) (dual of [32769, 32708, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 32769 | 326−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- linear OA(3255, 32769, F32, 19) (dual of [32769, 32714, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 32769 | 326−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [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 C([0,10]) ⊂ C([0,9]) [i] based on
- OOA 2-folding [i] based on linear OA(3262, 32776, F32, 21) (dual of [32776, 32714, 22]-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(3273, 3286, F32, 22, 21) (dual of [(3286, 22), 72219, 22]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |