MinT - Information on Result #1023953

Information on Result #1023953

Linear OOA(3¹⁴⁰, 54, F₃, 3, 89) (dual of [(54, 3), 22, 90]-NRT-code), using repeating each code word 2 times based on linear OOA(3⁵⁹, 27, F₃, 3, 44) (dual of [(27, 3), 22, 45]-NRT-code), using

algebraic-geometric NRT-code AG(3;F,36P) [i] based on function field F/F₃ with g(F) = 15 and N(F) ≥ 28, 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(3¹⁴⁰, 54, F₃, 3, 88) (dual of [(54, 3), 22, 89]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(3¹⁴⁰, 54, F₃, 3, 87) (dual of [(54, 3), 22, 88]-NRT-code)	[i]		Strength Reduction for OOAs