Information on Result #1312295
Linear OA(872, 595, F8, 26) (dual of [595, 523, 27]-code), using 75 step Varšamov–Edel lengthening with (ri) = (2, 0, 0, 0, 1, 10 times 0, 1, 22 times 0, 1, 36 times 0) based on linear OA(867, 515, F8, 26) (dual of [515, 448, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(24) [i] based on
- linear OA(867, 512, F8, 26) (dual of [512, 445, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(864, 512, F8, 25) (dual of [512, 448, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(80, 3, F8, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(80, s, F8, 0) (dual of [s, s, 1]-code) for arbitrarily large s, 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(872, 595, F8, 2, 26) (dual of [(595, 2), 1118, 27]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(872, 595, F8, 3, 26) (dual of [(595, 3), 1713, 27]-NRT-code) | [i] | ||
| 3 | Digital (46, 72, 595)-net over F8 | [i] | ||