Information on Result #1191380
Digital (30, 41, 822)-net over F8, using net defined by OOA based on linear OOA(841, 822, F8, 11, 11) (dual of [(822, 11), 9001, 12]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OA(841, 4111, F8, 11) (dual of [4111, 4070, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(841, 4112, F8, 11) (dual of [4112, 4071, 12]-code), using
- construction X applied to Ce(10) ⊂ Ce(6) [i] based on
- linear OA(837, 4096, F8, 11) (dual of [4096, 4059, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(825, 4096, F8, 7) (dual of [4096, 4071, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [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(10) ⊂ Ce(6) [i] based on
- discarding factors / shortening the dual code based on linear OA(841, 4112, F8, 11) (dual of [4112, 4071, 12]-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.