MinT - Information on Result #1120297

Information on Result #1120297

Linear OOA(3¹⁷⁵, 36, F₃, 5, 151) (dual of [(36, 5), 5, 152]-NRT-code), using repeating each code word 4 times based on linear OOA(3⁴⁰, 9, F₃, 5, 37) (dual of [(9, 5), 5, 38]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(3⁴⁰, 10, F₃, 5, 37) (dual of [(10, 5), 10, 38]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(5;F,12P) [i] based on function field F/F₃ with g(F) = 3 and N(F) ≥ 10, 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, 36, F₃, 5, 150) (dual of [(36, 5), 5, 151]-NRT-code)	[i]		Strength Reduction for OOAs