MinT - Information on Result #2916894

Information on Result #2916894

Linear OOA(2²⁶⁰, 44, F₂, 6, 225) (dual of [(44, 6), 4, 226]-NRT-code), using strength reduction based on linear OOA(2²⁶⁰, 44, F₂, 6, 227) (dual of [(44, 6), 4, 228]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2²⁰, 4, F₂, 6, 19) (dual of [(4, 6), 4, 20]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(2²⁰, 5, F₂, 6, 19) (dual of [(5, 6), 10, 20]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(6;F,10P) [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(2²³⁶, 40, F₂, 6, 207) (dual of [(40, 6), 4, 208]-NRT-code), using
  - repeating each code word 8 times [i] based on 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 (see above)

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(2²⁵⁹, 43, F₂, 6, 224)	[i]	Truncation for OOAs
2	Linear OOA(2²⁵³, 42, F₂, 6, 218)	[i]
3	Linear OOA(2²⁴⁷, 41, F₂, 6, 212)	[i]
4	Linear OOA(2²⁴¹, 40, F₂, 6, 206)	[i]
5	Linear OOA(2²³⁵, 39, F₂, 6, 200)	[i]
6	Linear OOA(2²³⁰, 39, F₂, 6, 195) (dual of [(39, 6), 4, 196]-NRT-code)	[i]