MinT - Information on Result #2652756

Information on Result #2652756

Linear OOA(2⁹³, 34, F₂, 3, 57) (dual of [(34, 3), 9, 58]-NRT-code), using 2 step truncation based on linear OOA(2⁹⁵, 35, F₂, 3, 59) (dual of [(35, 3), 10, 60]-NRT-code), using

concatenation of two NRT-codes [i] based on
1. linear OA(32⁵, 7, F₃₂, 5) (dual of [7, 2, 6]-code or 7-arc in PG(4,32)), using
  - discarding factors / shortening the dual code based on linear OA(32⁵, 32, F₃₂, 5) (dual of [32, 27, 6]-code or 32-arc in PG(4,32)), using
    - Reedâ€“Solomon code RS(27,32) [i]
2. linear OOA(2¹⁰, 5, F₂, 3, 9) (dual of [(5, 3), 5, 10]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,5P) [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(2⁹³, 17, F₂, 6, 57) (dual of [(17, 6), 9, 58]-NRT-code)	[i]		OOA Folding