Information on Result #1465296
Linear OOA(25647, 65827, F256, 2, 19) (dual of [(65827, 2), 131607, 20]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(25647, 65827, F256, 19) (dual of [65827, 65780, 20]-code), using
- (u, u+v)-construction [i] based on
- linear OA(25610, 289, F256, 9) (dual of [289, 279, 10]-code), using
- extended algebraic-geometric code AGe(F,279P) [i] based on function field F/F256 with g(F) = 1 and N(F) ≥ 289, using
- linear OA(25637, 65538, F256, 19) (dual of [65538, 65501, 20]-code), using
- construction X applied to Ce(18) ⊂ Ce(17) [i] based on
- linear OA(25637, 65536, F256, 19) (dual of [65536, 65499, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(25635, 65536, F256, 18) (dual of [65536, 65501, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(2560, 2, F256, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(2560, s, F256, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(18) ⊂ Ce(17) [i] based on
- linear OA(25610, 289, F256, 9) (dual of [289, 279, 10]-code), using
Mode: 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(25647, 32913, F256, 3, 19) (dual of [(32913, 3), 98692, 20]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(25647, 32913, F256, 4, 19) (dual of [(32913, 4), 131605, 20]-NRT-code) | [i] | ||