MinT - Information on Result #941559

Information on Result #941559

Linear OOA(2¹⁴⁸, 77, F₂, 2, 93) (dual of [(77, 2), 6, 94]-NRT-code), using juxtaposition based on

linear OOA(2²², 14, F₂, 2, 13) (dual of [(14, 2), 6, 14]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2⁹, 9, F₂, 2, 6) (dual of [(9, 2), 9, 7]-NRT-code), using
    - extracting embedded OOA [i] based on digital (3, 9, 9)-net over F₂, using
      - a shift-net [i]
  2. linear OOA(2¹³, 7, F₂, 2, 13) (dual of [(7, 2), 1, 14]-NRT-code), using
    - dual of repetition NRT-code with length 7 [i]
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(2¹⁴⁸, 77, F₂, 2, 92) (dual of [(77, 2), 6, 93]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(2¹⁴⁸, 77, F₂, 2, 91) (dual of [(77, 2), 6, 92]-NRT-code)	[i]
3	Linear OOA(2¹⁴⁸, 77, F₂, 2, 90) (dual of [(77, 2), 6, 91]-NRT-code)	[i]