MinT - Information on Result #1825409

Information on Result #1825409

(7, 12, 32897)-net in base 64, using base change based on digital (4, 9, 32897)-net over F₂₅₆, using

net defined by OOA [i] based on linear OOA(256⁹, 32897, F₂₅₆, 5, 5) (dual of [(32897, 5), 164476, 6]-NRT-code), using
- appending kth column [i] based on linear OOA(256⁹, 32897, F₂₅₆, 4, 5) (dual of [(32897, 4), 131579, 6]-NRT-code), using
  - (u,Â u+v)-construction [i] based on
    1. linear OOA(256², 257, F₂₅₆, 4, 2) (dual of [(257, 4), 1026, 3]-NRT-code), using
      - extended Reedâ€“Solomon NRT-code RS_e(4;1026,256) [i]
    2. linear OOA(256⁷, 32640, F₂₅₆, 4, 5) (dual of [(32640, 4), 130553, 6]-NRT-code), using
      - OOA 2-folding and stacking with additional row [i] based on linear OA(256⁷, 65281, F₂₅₆, 5) (dual of [65281, 65274, 6]-code), using
        a code by Danev and Olsson [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	(39, 49, 1710617)-net in base 64	[i]		(u,Â u+v)-Construction for Nets
2	(42, 53, 1710617)-net in base 64	[i]		(u,Â u+v)-Construction for Nets
3	OOA(64¹², 32897, S₆₄, 2, 5)	[i]		Extracting Embedded OOA
4	OOA(64¹², 32897, S₆₄, 3, 5)	[i]		Extracting Embedded OOA