Information on Result #898590
Linear OOA(16127, 524335, F16, 2, 24) (dual of [(524335, 2), 1048543, 25]-NRT-code), using (u, u+v)-construction based on
- linear OOA(1616, 45, F16, 2, 12) (dual of [(45, 2), 74, 13]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,77P) [i] based on function field F/F16 with g(F) = 4 and N(F) ≥ 45, using
- linear OOA(16111, 524290, F16, 2, 24) (dual of [(524290, 2), 1048469, 25]-NRT-code), using
- OOA 2-folding [i] based on linear OA(16111, 1048580, F16, 24) (dual of [1048580, 1048469, 25]-code), using
- discarding factors / shortening the dual code based on linear OA(16111, 1048581, F16, 24) (dual of [1048581, 1048470, 25]-code), using
- construction X applied to Ce(23) ⊂ Ce(22) [i] based on
- linear OA(16111, 1048576, F16, 24) (dual of [1048576, 1048465, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 165−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(16106, 1048576, F16, 23) (dual of [1048576, 1048470, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 165−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(160, 5, F16, 0) (dual of [5, 5, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(160, s, F16, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(23) ⊂ Ce(22) [i] based on
- discarding factors / shortening the dual code based on linear OA(16111, 1048581, F16, 24) (dual of [1048581, 1048470, 25]-code), using
- OOA 2-folding [i] based on linear OA(16111, 1048580, F16, 24) (dual of [1048580, 1048469, 25]-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(16127, 87389, F16, 26, 24) (dual of [(87389, 26), 2271987, 25]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |