Information on Result #2251701
Linear OA(8116, 4111, F8, 32) (dual of [4111, 3995, 33]-code), using 1 times truncation based on linear OA(8117, 4112, F8, 33) (dual of [4112, 3995, 34]-code), using
- construction X applied to Ce(32) ⊂ Ce(28) [i] based on
- linear OA(8113, 4096, F8, 33) (dual of [4096, 3983, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(8101, 4096, F8, 29) (dual of [4096, 3995, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(84, 16, F8, 3) (dual of [16, 12, 4]-code or 16-cap in PG(3,8)), 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 OOA(8116, 2055, F8, 2, 32) (dual of [(2055, 2), 3994, 33]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(8116, 1370, F8, 3, 32) (dual of [(1370, 3), 3994, 33]-NRT-code) | [i] | ||