MinT - Information on Result #1145941

Information on Result #1145941

Linear OOA(2²⁶⁰, 44, F₂, 6, 223) (dual of [(44, 6), 4, 224]-NRT-code), using repeating each code word 4 times based on linear OOA(2⁶², 11, F₂, 6, 55) (dual of [(11, 6), 4, 56]-NRT-code), using

strength reduction [i] based on linear OOA(2⁶², 11, F₂, 6, 56) (dual of [(11, 6), 4, 57]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(2²⁶, 5, F₂, 6, 25) (dual of [(5, 6), 4, 26]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(6;F,4P) [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(2³², 6, F₂, 6, 30) (dual of [(6, 6), 4, 31]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(6;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]

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		Method
1	Linear OOA(2²⁶⁰, 44, F₂, 6, 222) (dual of [(44, 6), 4, 223]-NRT-code)	[i]	Strength Reduction for OOAs
2	Linear OOA(2²⁶⁰, 44, F₂, 6, 221) (dual of [(44, 6), 4, 222]-NRT-code)	[i]
3	Linear OOA(2²⁶⁰, 44, F₂, 6, 220) (dual of [(44, 6), 4, 221]-NRT-code)	[i]
4	Linear OOA(2²⁵⁹, 43, F₂, 6, 222)	[i]	Truncation for OOAs
5	Linear OOA(2²⁵³, 42, F₂, 6, 216)	[i]
6	Linear OOA(2²⁴⁷, 41, F₂, 6, 210)	[i]