Information on Result #1019675
Linear OOA(12875, 5612, F128, 3, 30) (dual of [(5612, 3), 16761, 31]-NRT-code), using (u, u+v)-construction based on
- linear OOA(12816, 150, F128, 3, 15) (dual of [(150, 3), 434, 16]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,434P) [i] based on function field F/F128 with g(F) = 1 and N(F) ≥ 150, using
- linear OOA(12859, 5462, F128, 3, 30) (dual of [(5462, 3), 16327, 31]-NRT-code), using
- OOA 3-folding [i] based on linear OA(12859, 16386, F128, 30) (dual of [16386, 16327, 31]-code), using
- construction X applied to Ce(29) ⊂ Ce(28) [i] based on
- linear OA(12859, 16384, F128, 30) (dual of [16384, 16325, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(12857, 16384, F128, 29) (dual of [16384, 16327, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(1280, s, F128, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(29) ⊂ Ce(28) [i] based on
- OOA 3-folding [i] based on linear OA(12859, 16386, F128, 30) (dual of [16386, 16327, 31]-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(12875, 1122, F128, 33, 30) (dual of [(1122, 33), 36951, 31]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |