MinT - Information on Result #2992939

Information on Result #2992939

Linear OOA(2²⁵⁸, 33, F₂, 8, 225) (dual of [(33, 8), 6, 226]-NRT-code), using strength reduction based on linear OOA(2²⁵⁸, 33, F₂, 8, 226) (dual of [(33, 8), 6, 227]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2⁴², 6, F₂, 8, 40) (dual of [(6, 8), 6, 41]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(8;F,7P) [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(2²¹⁰, 27, F₂, 8, 185) (dual of [(27, 8), 6, 186]-NRT-code), using
  - repeating each code word 3 times [i] based on linear OOA(2⁶⁶, 9, F₂, 8, 61) (dual of [(9, 8), 6, 62]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(8;F,10P) [i] based on function field F/F₂ with g(F) = 5 and N(F) ≥ 9, 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(2²⁵⁷, 32, F₂, 8, 224)	[i]		Truncation for OOAs