Information on Result #899844
Linear OOA(2573, 7882, F25, 2, 20) (dual of [(7882, 2), 15691, 21]-NRT-code), using (u, u+v)-construction based on
- linear OOA(2514, 66, F25, 2, 10) (dual of [(66, 2), 118, 11]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,121P) [i] based on function field F/F25 with g(F) = 4 and N(F) ≥ 66, using
- linear OOA(2559, 7816, F25, 2, 20) (dual of [(7816, 2), 15573, 21]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2559, 15632, F25, 20) (dual of [15632, 15573, 21]-code), using
- construction X applied to Ce(19) ⊂ Ce(17) [i] based on
- 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(2552, 15625, F25, 18) (dual of [15625, 15573, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(251, 7, F25, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(251, s, F25, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(19) ⊂ Ce(17) [i] based on
- OOA 2-folding [i] based on linear OA(2559, 15632, F25, 20) (dual of [15632, 15573, 21]-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(2573, 1576, F25, 22, 20) (dual of [(1576, 22), 34599, 21]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |