Information on Result #899877
Linear OOA(2574, 7866, F25, 2, 21) (dual of [(7866, 2), 15658, 22]-NRT-code), using (u, u+v)-construction based on
- linear OOA(2513, 52, F25, 2, 10) (dual of [(52, 2), 91, 11]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,93P) [i] based on function field F/F25 with g(F) = 3 and N(F) ≥ 52, using
- linear OOA(2561, 7814, F25, 2, 21) (dual of [(7814, 2), 15567, 22]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2561, 15628, F25, 21) (dual of [15628, 15567, 22]-code), using
- construction X applied to Ce(20) ⊂ Ce(19) [i] based on
- linear OA(2561, 15625, F25, 21) (dual of [15625, 15564, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(2558, 15625, F25, 20) (dual of [15625, 15567, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(250, 3, F25, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(250, s, F25, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(20) ⊂ Ce(19) [i] based on
- OOA 2-folding [i] based on linear OA(2561, 15628, F25, 21) (dual of [15628, 15567, 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(2574, 1573, F25, 22, 21) (dual of [(1573, 22), 34532, 22]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |