MinT - Information on Result #1205248

Information on Result #1205248

Digital (96, 104, large)-net over F₄, using trace code for nets based on digital (18, 26, 2097406)-net over F₂₅₆, using

net defined by OOA [i] based on linear OOA(256²⁶, 2097406, F₂₅₆, 12, 8) (dual of [(2097406, 12), 25168846, 9]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(256²⁶, 2097407, F₂₅₆, 4, 8) (dual of [(2097407, 4), 8389602, 9]-NRT-code), using
  - (u,Â u+v)-construction [i] based on
    1. linear OOA(256⁴, 257, F₂₅₆, 4, 4) (dual of [(257, 4), 1024, 5]-NRT-code), using
      - extended Reedâ€“Solomon NRT-code RS_e(4;1024,256) [i]
    2. linear OOA(256²², 2097150, F₂₅₆, 4, 8) (dual of [(2097150, 4), 8388578, 9]-NRT-code), using
      - OOA 4-folding [i] based on linear OA(256²², 8388600, F₂₅₆, 8) (dual of [8388600, 8388578, 9]-code), using
        discarding factors / shortening the dual code based on linear OA(256²², large, F₂₅₆, 8) (dual of [large, large−22, 9]-code), using
        the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 256³âˆ’1, defining interval IÂ =Â [0,7], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 9 [i]

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, k and t, m and t.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		This result only	Method
1	Digital (97, 104, large)-net over F₄	[i]		t-Expansion
2	Digital (98, 104, large)-net over F₄	[i]
3	Digital (99, 104, large)-net over F₄	[i]
4	Digital (100, 104, large)-net over F₄	[i]
5	Digital (101, 104, large)-net over F₄	[i]
6	Digital (97, 105, large)-net over F₄	[i]		Net Duplication
7	Digital (98, 106, large)-net over F₄	[i]
8	Digital (99, 107, large)-net over F₄	[i]
9	Digital (100, 108, large)-net over F₄	[i]
10	Digital (101, 109, large)-net over F₄	[i]
11	Digital (102, 110, large)-net over F₄	[i]
12	Digital (103, 111, large)-net over F₄	[i]
13	Digital (104, 112, large)-net over F₄	[i]
14	Digital (105, 113, large)-net over F₄	[i]
15	Digital (106, 114, large)-net over F₄	[i]
16	Digital (96, 103, large)-net over F₄	[i]		m-Reduction
17	Digital (96, 102, large)-net over F₄	[i]
18	Digital (96, 101, large)-net over F₄	[i]
19	Digital (96, 100, large)-net over F₄	[i]
20	Digital (96, 99, large)-net over F₄	[i]