MinT - Information on Result #2916450

Information on Result #2916450

Linear OOA(2²⁵⁵, 43, F₂, 6, 225) (dual of [(43, 6), 3, 226]-NRT-code), using strength reduction based on linear OOA(2²⁵⁵, 43, F₂, 6, 231) (dual of [(43, 6), 3, 232]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2¹⁵, 3, F₂, 6, 15) (dual of [(3, 6), 3, 16]-NRT-code), using
  - extended Reedâ€“Solomon NRT-code RS_e(6;3,2) [i]
2. linear OOA(2²³⁷, 40, F₂, 6, 215) (dual of [(40, 6), 3, 216]-NRT-code), using
  - repeating each code word 8 times [i] based on linear OOA(2²⁷, 5, F₂, 6, 26) (dual of [(5, 6), 3, 27]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(6;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		Method
1	Linear OOA(2²⁵⁴, 42, F₂, 6, 224)	[i]	Truncation for OOAs
2	Linear OOA(2²⁵³, 42, F₂, 6, 223)	[i]
3	Linear OOA(2²⁴⁸, 41, F₂, 6, 218)	[i]
4	Linear OOA(2²⁴⁷, 41, F₂, 6, 217)	[i]