MinT - Information on Result #3263972

Information on Result #3263972

Digital (95, 111, 2097666)-net over F₁₆, using 16¹ times duplication based on digital (94, 110, 2097666)-net over F₁₆, using

(u,Â u+v)-construction [i] based on
1. digital (10, 18, 516)-net over F₁₆, using
  - trace code for nets [i] based on digital (1, 9, 258)-net over F₂₅₆, using
    - net from sequence [i] based on digital (1, 257)-sequence over F₂₅₆, using
      - Niederreiter sequence [i]
2. digital (76, 92, 2097150)-net over F₁₆, using
  - net defined by OOA [i] based on linear OOA(16⁹², 2097150, F₁₆, 18, 16) (dual of [(2097150, 18), 37748608, 17]-NRT-code), using
    - OOA 4-folding and stacking with additional row [i] based on linear OOA(16⁹², 8388601, F₁₆, 2, 16) (dual of [(8388601, 2), 16777110, 17]-NRT-code), using
      - discarding factors / shortening the dual code based on linear OOA(16⁹², 8388602, F₁₆, 2, 16) (dual of [(8388602, 2), 16777112, 17]-NRT-code), using
        trace code [i] based on linear OOA(256⁴⁶, 4194301, F₂₅₆, 2, 16) (dual of [(4194301, 2), 8388556, 17]-NRT-code), using
        OOA 2-folding [i] based on linear OA(256⁴⁶, 8388602, F₂₅₆, 16) (dual of [8388602, 8388556, 17]-code), using
        discarding factors / shortening the dual code based on linear OA(256⁴⁶, large, F₂₅₆, 16) (dual of [large, large−46, 17]-code), using
        the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 256³âˆ’1, defining interval IÂ =Â [0,15], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 17 [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	(132, 148, 2097666)-net in base 8	[i]		Base Change