MinT - Information on Result #2654919

Information on Result #2654919

Linear OOA(2²⁴⁴, 84, F₂, 3, 170) (dual of [(84, 3), 8, 171]-NRT-code), using 3 step truncation based on linear OOA(2²⁴⁷, 85, F₂, 3, 173) (dual of [(85, 3), 8, 174]-NRT-code), using

strength reduction [i] based on linear OOA(2²⁴⁷, 85, F₂, 3, 175) (dual of [(85, 3), 8, 176]-NRT-code), using
- concatenation of two NRT-codes [i] based on
  1. linear OA(16¹⁵, 17, F₁₆, 15) (dual of [17, 2, 16]-code or 17-arc in PG(14,16)), using
    - extended Reedâ€“Solomon code RS_e(2,16) [i]
    - Simplex code S(2,16) [i]
  2. linear OOA(2¹¹, 5, F₂, 3, 10) (dual of [(5, 3), 4, 11]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,4P) [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(2²⁴⁴, 42, F₂, 6, 170) (dual of [(42, 6), 8, 171]-NRT-code)	[i]		OOA Folding