Information on Result #900072
Linear OOA(2599, 7940, F25, 2, 27) (dual of [(7940, 2), 15781, 28]-NRT-code), using (u, u+v)-construction based on
- linear OOA(2523, 126, F25, 2, 13) (dual of [(126, 2), 229, 14]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,238P) [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,238P) [i] based on function field F/F25 with g(F) = 10 and N(F) ≥ 126, using
- linear OOA(2576, 7814, F25, 2, 27) (dual of [(7814, 2), 15552, 28]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2576, 15628, F25, 27) (dual of [15628, 15552, 28]-code), using
- construction X applied to Ce(26) ⊂ Ce(25) [i] based on
- linear OA(2576, 15625, F25, 27) (dual of [15625, 15549, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- 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]
- 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(26) ⊂ Ce(25) [i] based on
- OOA 2-folding [i] based on linear OA(2576, 15628, F25, 27) (dual of [15628, 15552, 28]-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(25100, 7940, F25, 2, 27) (dual of [(7940, 2), 15780, 28]-NRT-code) | [i] | OOA Duplication | |