Information on Result #902509
Linear OOA(32101, 16461, F32, 2, 28) (dual of [(16461, 2), 32821, 29]-NRT-code), using (u, u+v)-construction based on
- linear OOA(3219, 76, F32, 2, 14) (dual of [(76, 2), 133, 15]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,137P) [i] based on function field F/F32 with g(F) = 5 and N(F) ≥ 76, using
- linear OOA(3282, 16385, F32, 2, 28) (dual of [(16385, 2), 32688, 29]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3282, 32770, F32, 28) (dual of [32770, 32688, 29]-code), using
- discarding factors / shortening the dual code based on linear OA(3282, 32771, F32, 28) (dual of [32771, 32689, 29]-code), using
- construction X applied to Ce(27) ⊂ Ce(26) [i] based on
- linear OA(3282, 32768, F32, 28) (dual of [32768, 32686, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(3279, 32768, F32, 27) (dual of [32768, 32689, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(320, 3, F32, 0) (dual of [3, 3, 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(27) ⊂ Ce(26) [i] based on
- discarding factors / shortening the dual code based on linear OA(3282, 32771, F32, 28) (dual of [32771, 32689, 29]-code), using
- OOA 2-folding [i] based on linear OA(3282, 32770, F32, 28) (dual of [32770, 32688, 29]-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(32101, 2351, F32, 30, 28) (dual of [(2351, 30), 70429, 29]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |