Information on Result #1556131
Linear OOA(8120, 28907, F8, 3, 27) (dual of [(28907, 3), 86601, 28]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(8120, 28907, F8, 27) (dual of [28907, 28787, 28]-code), using
- discarding factors / shortening the dual code based on linear OA(8120, 32787, F8, 27) (dual of [32787, 32667, 28]-code), using
- construction X applied to Ce(26) ⊂ Ce(22) [i] based on
- linear OA(8116, 32768, F8, 27) (dual of [32768, 32652, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(8101, 32768, F8, 23) (dual of [32768, 32667, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(84, 19, F8, 3) (dual of [19, 15, 4]-code or 19-cap in PG(3,8)), using
- construction X applied to Ce(26) ⊂ Ce(22) [i] based on
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(8120, 5781, F8, 33, 27) (dual of [(5781, 33), 190653, 28]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |