MinT - Information on Result #2642464

Information on Result #2642464

Linear OOA(7⁹⁴, 33, F₇, 3, 80) (dual of [(33, 3), 5, 81]-NRT-code), using strength reduction based on linear OOA(7⁹⁴, 33, F₇, 3, 81) (dual of [(33, 3), 5, 82]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(7¹⁹, 8, F₇, 3, 19) (dual of [(8, 3), 5, 20]-NRT-code), using
  - extended Reedâ€“Solomon NRT-code RS_e(3;5,7) [i]
2. linear OOA(7⁷⁰, 25, F₇, 3, 61) (dual of [(25, 3), 5, 62]-NRT-code), using
  - juxtaposition [i] based on
    1. linear OOA(7¹⁹, 8, F₇, 3, 19) (dual of [(8, 3), 5, 20]-NRT-code) (see above)
    2. linear OOA(7⁴⁶, 17, F₇, 3, 41) (dual of [(17, 3), 5, 42]-NRT-code), using
      - juxtaposition [i] based on
        linear OOA(7¹⁹, 8, F₇, 3, 19) (dual of [(8, 3), 5, 20]-NRT-code) (see above)
        linear OOA(7²², 9, F₇, 3, 21) (dual of [(9, 3), 5, 22]-NRT-code), using
        extracting embedded OOA [i] based on digital (1, 22, 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(7¹⁰⁹, 38, F₇, 3, 91) (dual of [(38, 3), 5, 92]-NRT-code)	[i]		Juxtaposition for OOAs