MinT - Information on Result #2652658

Information on Result #2652658

Linear OOA(2¹²⁴, 43, F₂, 3, 90) (dual of [(43, 3), 5, 91]-NRT-code), using 5 step truncation based on linear OOA(2¹²⁹, 45, F₂, 3, 95) (dual of [(45, 3), 6, 96]-NRT-code), using

concatenation of two NRT-codes [i] based on
1. linear OA(8⁷, 9, F₈, 7) (dual of [9, 2, 8]-code or 9-arc in PG(6,8)), using
  - extended Reedâ€“Solomon code RS_e(2,8) [i]
  - Simplex code S(2,8) [i]
2. linear OOA(2¹², 5, F₂, 3, 11) (dual of [(5, 3), 3, 12]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;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		This result only	Method
1	Linear OOA(2²⁵³, 86, F₂, 3, 181) (dual of [(86, 3), 5, 182]-NRT-code)	[i]		Repeating Each Code Word for NRT-Codes
2	Linear OOA(2¹³⁹, 48, F₂, 3, 100) (dual of [(48, 3), 5, 101]-NRT-code)	[i]		Juxtaposition for OOAs