Information on Result #687981
Linear OA(867, 515, F8, 26) (dual of [515, 448, 27]-code), using construction X applied to Ce(25) ⊂ Ce(24) 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: 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 OA(870, 533, F8, 26) (dual of [533, 463, 27]-code) | [i] | Varšamov–Edel Lengthening | |
| 2 | Linear OA(871, 557, F8, 26) (dual of [557, 486, 27]-code) | [i] | ||
| 3 | Linear OA(872, 595, F8, 26) (dual of [595, 523, 27]-code) | [i] | ||
| 4 | Linear OA(874, 698, F8, 26) (dual of [698, 624, 27]-code) | [i] | ||
| 5 | Linear OOA(867, 257, F8, 2, 26) (dual of [(257, 2), 447, 27]-NRT-code) | [i] | OOA Folding | |