MinT - Information on Result #1027718

Information on Result #1027718

Linear OOA(7⁹⁶, 33, F₇, 3, 89) (dual of [(33, 3), 3, 90]-NRT-code), using juxtaposition based on

linear OOA(7²¹, 8, F₇, 3, 21) (dual of [(8, 3), 3, 22]-NRT-code), using
- extended Reedâ€“Solomon NRT-code RS_e(3;3,7) [i]
linear OOA(7⁷², 25, F₇, 3, 67) (dual of [(25, 3), 3, 68]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(7²¹, 8, F₇, 3, 21) (dual of [(8, 3), 3, 22]-NRT-code) (see above)
  2. linear OOA(7⁴⁸, 17, F₇, 3, 45) (dual of [(17, 3), 3, 46]-NRT-code), using
    - juxtaposition [i] based on
      1. linear OOA(7²¹, 8, F₇, 3, 21) (dual of [(8, 3), 3, 22]-NRT-code) (see above)
      2. linear OOA(7²⁴, 9, F₇, 3, 23) (dual of [(9, 3), 3, 24]-NRT-code), using
        extracting embedded OOA [i] based on digital (1, 24, 9)-net over F₇, using
        net from sequence [i] based on digital (1, 8)-sequence over F₇, using
        Niederreiter sequence [i]

Mode: Constructive and linear.

Optimality

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

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(7⁹⁶, 33, F₇, 3, 88) (dual of [(33, 3), 3, 89]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(7⁹⁶, 33, F₇, 3, 87) (dual of [(33, 3), 3, 88]-NRT-code)	[i]
3	Linear OOA(7⁹⁶, 33, F₇, 3, 86) (dual of [(33, 3), 3, 87]-NRT-code)	[i]
4	Linear OOA(7⁹⁶, 33, F₇, 3, 85) (dual of [(33, 3), 3, 86]-NRT-code)	[i]
5	Linear OOA(7⁹⁶, 33, F₇, 3, 84) (dual of [(33, 3), 3, 85]-NRT-code)	[i]
6	Linear OOA(7⁹¹, 31, F₇, 3, 84) (dual of [(31, 3), 2, 85]-NRT-code)	[i]		Truncation for OOAs
7	Linear OOA(7⁹⁰, 31, F₇, 3, 83) (dual of [(31, 3), 3, 84]-NRT-code)	[i]
8	Linear OOA(7⁸⁷, 30, F₇, 3, 80) (dual of [(30, 3), 3, 81]-NRT-code)	[i]
9	Linear OOA(7⁸⁵, 29, F₇, 3, 78) (dual of [(29, 3), 2, 79]-NRT-code)	[i]
10	Linear OOA(7⁸⁴, 29, F₇, 3, 77) (dual of [(29, 3), 3, 78]-NRT-code)	[i]
11	Linear OOA(7⁷⁹, 27, F₇, 3, 72) (dual of [(27, 3), 2, 73]-NRT-code)	[i]
12	Linear OOA(7⁷⁸, 27, F₇, 3, 71) (dual of [(27, 3), 3, 72]-NRT-code)	[i]
13	Linear OOA(7⁷⁶, 26, F₇, 3, 69) (dual of [(26, 3), 2, 70]-NRT-code)	[i]
14	Linear OOA(7⁷⁵, 26, F₇, 3, 68) (dual of [(26, 3), 3, 69]-NRT-code)	[i]