Information on Result #1465462
Linear OOA(25662, 65827, F256, 2, 25) (dual of [(65827, 2), 131592, 26]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(25662, 65827, F256, 25) (dual of [65827, 65765, 26]-code), using
- (u, u+v)-construction [i] based on
- linear OA(25613, 289, F256, 12) (dual of [289, 276, 13]-code), using
- extended algebraic-geometric code AGe(F,276P) [i] based on function field F/F256 with g(F) = 1 and N(F) ≥ 289, using
- linear OA(25649, 65538, F256, 25) (dual of [65538, 65489, 26]-code), using
- construction X applied to Ce(24) ⊂ Ce(23) [i] based on
- linear OA(25649, 65536, F256, 25) (dual of [65536, 65487, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(25647, 65536, F256, 24) (dual of [65536, 65489, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [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(24) ⊂ Ce(23) [i] based on
- linear OA(25613, 289, F256, 12) (dual of [289, 276, 13]-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(25662, 32913, F256, 3, 25) (dual of [(32913, 3), 98677, 26]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(25662, 32913, F256, 4, 25) (dual of [(32913, 4), 131590, 26]-NRT-code) | [i] | ||