MinT - Information on Result #2420547

Information on Result #2420547

Linear OOA(2¹⁴⁶, 76, F₂, 2, 91) (dual of [(76, 2), 6, 92]-NRT-code), using strength reduction based on linear OOA(2¹⁴⁶, 76, F₂, 2, 92) (dual of [(76, 2), 6, 93]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2²⁰, 13, F₂, 2, 12) (dual of [(13, 2), 6, 13]-NRT-code), using
  - extracting embedded OOA [i] based on digital (8, 20, 13)-net over F₂, using
    - linear code embedding found in a computer search [i]
2. linear OOA(2¹²⁰, 63, F₂, 2, 79) (dual of [(63, 2), 6, 80]-NRT-code), using
  - concatenation of two NRT-codes [i] based on
    1. linear OA(4¹⁸, 21, F₄, 15) (dual of [21, 3, 16]-code), using
      - Simplex code S(3,4) [i]
    2. linear OOA(2⁴, 3, F₂, 2, 4) (dual of [(3, 2), 2, 5]-NRT-code), using
      - extended Reedâ€“Solomon NRT-code RS_e(2;2,2) [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(2¹⁴⁶, 38, F₂, 4, 91) (dual of [(38, 4), 6, 92]-NRT-code)	[i]		OOA Folding