Information on Result #1729002
Digital (67, 93, 808)-net over F8, using net defined by OOA based on linear OOA(893, 808, F8, 33, 26) (dual of [(808, 33), 26571, 27]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OOA(893, 4041, F8, 3, 26) (dual of [(4041, 3), 12030, 27]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(893, 4042, F8, 3, 26) (dual of [(4042, 3), 12033, 27]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(893, 4042, F8, 26) (dual of [4042, 3949, 27]-code), using
- discarding factors / shortening the dual code based on linear OA(893, 4112, F8, 26) (dual of [4112, 4019, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(21) [i] based on
- linear OA(889, 4096, F8, 26) (dual of [4096, 4007, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(877, 4096, F8, 22) (dual of [4096, 4019, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(84, 16, F8, 3) (dual of [16, 12, 4]-code or 16-cap in PG(3,8)), using
- construction X applied to Ce(25) ⊂ Ce(21) [i] based on
- discarding factors / shortening the dual code based on linear OA(893, 4112, F8, 26) (dual of [4112, 4019, 27]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(893, 4042, F8, 26) (dual of [4042, 3949, 27]-code), using
- discarding factors / shortening the dual code based on linear OOA(893, 4042, F8, 3, 26) (dual of [(4042, 3), 12033, 27]-NRT-code), using
Mode: Linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.