Information on Result #1191276
Digital (27, 37, 822)-net over F8, using net defined by OOA based on linear OOA(837, 822, F8, 10, 10) (dual of [(822, 10), 8183, 11]-NRT-code), using
- OA 5-folding and stacking [i] based on linear OA(837, 4110, F8, 10) (dual of [4110, 4073, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(837, 4112, F8, 10) (dual of [4112, 4075, 11]-code), using
- construction X applied to Ce(9) ⊂ Ce(5) [i] based on
- linear OA(833, 4096, F8, 10) (dual of [4096, 4063, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(821, 4096, F8, 6) (dual of [4096, 4075, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [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(9) ⊂ Ce(5) [i] based on
- discarding factors / shortening the dual code based on linear OA(837, 4112, F8, 10) (dual of [4112, 4075, 11]-code), using
Mode: Constructive and 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.