MinT - Information on Result #1843228

Information on Result #1843228

(41, 50, 2129790)-net in base 32, using (u,Â u+v)-construction based on

(6, 10, 32640)-net in base 32, using
- net defined by OOA [i] based on OOA(32¹⁰, 32640, S₃₂, 4, 4), using
  - OA 2-folding and stacking [i] based on OA(32¹⁰, 65280, S₃₂, 4), using
    - discarding parts of the base [i] based on linear OA(256⁶, 65280, F₂₅₆, 4) (dual of [65280, 65274, 5]-code), using
      - 1 times truncation [i] based on linear OA(256⁷, 65281, F₂₅₆, 5) (dual of [65281, 65274, 6]-code), using
        a code by Danev and Olsson [i]
(31, 40, 2097150)-net in base 32, using
- base change [i] based on digital (16, 25, 2097150)-net over F₂₅₆, using
  - net defined by OOA [i] based on linear OOA(256²⁵, 2097150, F₂₅₆, 9, 9) (dual of [(2097150, 9), 18874325, 10]-NRT-code), using
    - OOA 4-folding and stacking with additional row [i] based on linear OA(256²⁵, 8388601, F₂₅₆, 9) (dual of [8388601, 8388576, 10]-code), using
      - discarding factors / shortening the dual code based on linear OA(256²⁵, large, F₂₅₆, 9) (dual of [large, large−25, 10]-code), using
        the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 256³âˆ’1, defining interval IÂ =Â [0,8], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 10 [i]

Mode: Constructive.

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	(42, 51, 2129790)-net in base 32	[i]		Net Duplication