Information on Result #900017
Linear OOA(2594, 7938, F25, 2, 25) (dual of [(7938, 2), 15782, 26]-NRT-code), using (u, u+v)-construction based on
- linear OOA(2522, 126, F25, 2, 12) (dual of [(126, 2), 230, 13]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,239P) [i] based on function field F/F25 with g(F) = 10 and N(F) ≥ 126, using
- the Hermitian function field over F25 [i]
- extended algebraic-geometric NRT-code AGe(2;F,239P) [i] based on function field F/F25 with g(F) = 10 and N(F) ≥ 126, using
- linear OOA(2572, 7812, F25, 2, 25) (dual of [(7812, 2), 15552, 26]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2572, 15624, F25, 25) (dual of [15624, 15552, 26]-code), using
- 1 times truncation [i] based on linear OA(2573, 15625, F25, 26) (dual of [15625, 15552, 27]-code), using
- an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- 1 times truncation [i] based on linear OA(2573, 15625, F25, 26) (dual of [15625, 15552, 27]-code), using
- OOA 2-folding [i] based on linear OA(2572, 15624, F25, 25) (dual of [15624, 15552, 26]-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(2594, 1322, F25, 26, 25) (dual of [(1322, 26), 34278, 26]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |