MinT - Information on Result #1213345

Information on Result #1213345

Digital (96, 106, 3356040)-net over F₅, using (u,Â u+v)-construction based on

digital (9, 14, 600)-net over F₅, using
- net defined by OOA [i] based on linear OOA(5¹⁴, 600, F₅, 5, 5) (dual of [(600, 5), 2986, 6]-NRT-code), using
  - OOA 2-folding and stacking with additional row [i] based on linear OA(5¹⁴, 1201, F₅, 5) (dual of [1201, 1187, 6]-code), using
    - discarding factors / shortening the dual code based on linear OA(5¹⁴, 1202, F₅, 5) (dual of [1202, 1188, 6]-code), using
      - trace code [i] based on linear OA(25⁷, 601, F₂₅, 5) (dual of [601, 594, 6]-code), using
        a code by Danev and Olsson [i]
digital (82, 92, 3355440)-net over F₅, using
- trace code for nets [i] based on digital (36, 46, 1677720)-net over F₂₅, using
  - net defined by OOA [i] based on linear OOA(25⁴⁶, 1677720, F₂₅, 10, 10) (dual of [(1677720, 10), 16777154, 11]-NRT-code), using
    - OA 5-folding and stacking [i] based on linear OA(25⁴⁶, 8388600, F₂₅, 10) (dual of [8388600, 8388554, 11]-code), using
      - discarding factors / shortening the dual code based on linear OA(25⁴⁶, large, F₂₅, 10) (dual of [large, large−46, 11]-code), using
        the primitive expurgated narrow-sense BCH-code C(I) with length 9765624Â = 25⁵âˆ’1, defining interval IÂ =Â [0,9], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 11 [i]

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

The following results depend on this result:

	Result		This result only	Method
1	Digital (136, 146, 6712080)-net over F₅	[i]		(u,Â u+v)-Construction for Nets