MinT - Information on Result #2955644

Information on Result #2955644

Linear OOA(2²⁵⁶, 37, F₂, 7, 230) (dual of [(37, 7), 3, 231]-NRT-code), using strength reduction based on linear OOA(2²⁵⁶, 37, F₂, 7, 235) (dual of [(37, 7), 3, 236]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2¹⁸, 3, F₂, 7, 18) (dual of [(3, 7), 3, 19]-NRT-code), using
  - extended Reedâ€“Solomon NRT-code RS_e(7;3,2) [i]
2. linear OOA(2²³⁵, 34, F₂, 7, 216) (dual of [(34, 7), 3, 217]-NRT-code), using
  - 7 step truncation [i] based on linear OOA(2²⁴², 35, F₂, 7, 223) (dual of [(35, 7), 3, 224]-NRT-code), using
    - repeating each code word 7 times [i] based on linear OOA(2³², 5, F₂, 7, 31) (dual of [(5, 7), 3, 32]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(7;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(2²⁶⁰, 37, F₂, 7, 230)	[i]	OOA Duplication
2	Linear OOA(2²⁵⁵, 36, F₂, 7, 229)	[i]	Truncation for OOAs
3	Linear OOA(2²⁵⁴, 36, F₂, 7, 228)	[i]
4	Linear OOA(2²⁵³, 36, F₂, 7, 227)	[i]