MinT - Information on Result #907581

Information on Result #907581

Linear OOA(2¹⁵⁶, 81, F₂, 2, 83) (dual of [(81, 2), 6, 84]-NRT-code), using repeating each code word 3 times based on linear OOA(2⁴⁸, 27, F₂, 2, 27) (dual of [(27, 2), 6, 28]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(2²¹, 13, F₂, 2, 13) (dual of [(13, 2), 5, 14]-NRT-code), using
  - (u,Â u+v)-construction [i] based on
    1. linear OOA(2⁸, 6, F₂, 2, 6) (dual of [(6, 2), 4, 7]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(2;F,5P) [i] based on function field F/F₂ with g(F) = 2 and N(F) ≥ 6, using
        an explicitly constructive algebraic function field [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]
2. linear OOA(2²⁷, 14, F₂, 2, 27) (dual of [(14, 2), 1, 28]-NRT-code), using
  - dual of repetition NRT-code with length 14 [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(2¹⁷², 89, F₂, 2, 91) (dual of [(89, 2), 6, 92]-NRT-code)	[i]		Juxtaposition for OOAs