MinT - Information on Result #2993032

Information on Result #2993032

Linear OOA(2²⁵⁹, 33, F₂, 8, 228) (dual of [(33, 8), 5, 229]-NRT-code), using strength reduction based on linear OOA(2²⁵⁹, 33, F₂, 8, 230) (dual of [(33, 8), 5, 231]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2³⁵, 5, F₂, 8, 34) (dual of [(5, 8), 5, 35]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(8;F,5P) [i] based on function field F/F₂ with g(F) = 1 and N(F) ≥ 5, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(2²¹⁹, 28, F₂, 8, 195) (dual of [(28, 8), 5, 196]-NRT-code), using
  - repeating each code word 4 times [i] based on linear OOA(2⁵¹, 7, F₂, 8, 48) (dual of [(7, 8), 5, 49]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(8;F,7P) [i] based on function field F/F₂ with g(F) = 3 and N(F) ≥ 7, 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(2²⁵⁸, 32, F₂, 8, 227)	[i]		Truncation for OOAs
2	Linear OOA(2²⁵⁷, 32, F₂, 8, 226)	[i]		Truncation for OOAs