MinT - Information on Result #2455636

Information on Result #2455636

Linear OOA(2⁷², 39, F₂, 2, 46) (dual of [(39, 2), 6, 47]-NRT-code), using 2 step truncation based on linear OOA(2⁷⁴, 40, F₂, 2, 48) (dual of [(40, 2), 6, 49]-NRT-code), using

concatenation of two NRT-codes [i] based on
1. linear OA(8⁶, 8, F₈, 6) (dual of [8, 2, 7]-code or 8-arc in PG(5,8)), using
  - Reedâ€“Solomon code RS(2,8) [i]
2. linear OOA(2⁷, 5, F₂, 2, 6) (dual of [(5, 2), 3, 7]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;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(2¹⁹⁸, 102, F₂, 2, 126) (dual of [(102, 2), 6, 127]-NRT-code)	[i]		Juxtaposition for OOAs