MinT - Information on Result #2624176

Information on Result #2624176

Linear OOA(3¹⁶⁸, 60, F₃, 3, 119) (dual of [(60, 3), 12, 120]-NRT-code), using strength reduction based on linear OOA(3¹⁶⁸, 60, F₃, 3, 121) (dual of [(60, 3), 12, 122]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(3⁷², 28, F₃, 3, 57) (dual of [(28, 3), 12, 58]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,26P) [i] based on function field F/F₃ with g(F) = 15 and N(F) ≥ 28, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(3⁸⁴, 32, F₃, 3, 63) (dual of [(32, 3), 12, 64]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,32P) [i] based on function field F/F₃ with g(F) = 21 and N(F) ≥ 32, 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(3²⁴⁹, 87, F₃, 3, 174) (dual of [(87, 3), 12, 175]-NRT-code)	[i]		Juxtaposition for OOAs