MinT - Information on Result #2419814

Information on Result #2419814

Linear OOA(2¹³³, 68, F₂, 2, 93) (dual of [(68, 2), 3, 94]-NRT-code), using strength reduction based on linear OOA(2¹³³, 68, F₂, 2, 94) (dual of [(68, 2), 3, 95]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2³, 3, F₂, 2, 3) (dual of [(3, 2), 3, 4]-NRT-code), using
  - extended Reedâ€“Solomon NRT-code RS_e(2;3,2) [i]
2. linear OOA(2¹²⁷, 65, F₂, 2, 90) (dual of [(65, 2), 3, 91]-NRT-code), using
  - repeating each code word 13 times [i] based on linear OOA(2⁷, 5, F₂, 2, 6) (dual of [(5, 2), 3, 7]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(2;F,3P) [i] based on function field F/F₂ with g(F) = 1 and N(F) ≥ 5, using
      - an explicitly constructive algebraic function field [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(2¹³³, 34, F₂, 4, 93) (dual of [(34, 4), 3, 94]-NRT-code)	[i]		OOA Folding