MinT - Information on Result #2465897

Information on Result #2465897

Linear OOA(3²³⁸, 125, F₃, 2, 162) (dual of [(125, 2), 12, 163]-NRT-code), using 2 step truncation based on linear OOA(3²⁴⁰, 126, F₃, 2, 164) (dual of [(126, 2), 12, 165]-NRT-code), using

concatenation of two NRT-codes [i] based on
1. linear OA(27¹⁴, 18, F₂₇, 14) (dual of [18, 4, 15]-code or 18-arc in PG(13,27)), using
  - discarding factors / shortening the dual code based on linear OA(27¹⁴, 27, F₂₇, 14) (dual of [27, 13, 15]-code or 27-arc in PG(13,27)), using
    - Reedâ€“Solomon code RS(13,27) [i]
2. linear OOA(3¹¹, 7, F₃, 2, 10) (dual of [(7, 2), 3, 11]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,3P) [i] based on function field F/F₃ with g(F) = 1 and N(F) ≥ 7, 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(3²³⁸, 62, F₃, 4, 162) (dual of [(62, 4), 10, 163]-NRT-code)	[i]		OOA Folding