MinT - Information on Result #2463523

Information on Result #2463523

Linear OOA(3¹⁷⁵, 90, F₃, 2, 130) (dual of [(90, 2), 5, 131]-NRT-code), using 1 step truncation based on linear OOA(3¹⁷⁶, 91, F₃, 2, 131) (dual of [(91, 2), 6, 132]-NRT-code), using

concatenation of two NRT-codes [i] based on
1. linear OA(27¹¹, 13, F₂₇, 11) (dual of [13, 2, 12]-code or 13-arc in PG(10,27)), using
  - discarding factors / shortening the dual code based on linear OA(27¹¹, 27, F₂₇, 11) (dual of [27, 16, 12]-code or 27-arc in PG(10,27)), using
    - Reedâ€“Solomon code RS(16,27) [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(3¹⁷⁵, 45, F₃, 4, 130) (dual of [(45, 4), 5, 131]-NRT-code)	[i]		OOA Folding