MinT - Information on Result #907693

Information on Result #907693

Linear OOA(3⁵⁷, 30, F₃, 2, 44) (dual of [(30, 2), 3, 45]-NRT-code), using repeating each code word 5 times based on linear OOA(3⁹, 6, F₃, 2, 8) (dual of [(6, 2), 3, 9]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(3⁹, 7, F₃, 2, 8) (dual of [(7, 2), 5, 9]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(2;F,5P) [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		Method
1	Linear OOA(3⁵⁷, 30, F₃, 2, 43) (dual of [(30, 2), 3, 44]-NRT-code)	[i]	Strength Reduction for OOAs
2	Linear OOA(3⁵⁷, 30, F₃, 2, 42) (dual of [(30, 2), 3, 43]-NRT-code)	[i]
3	Linear OOA(3⁵⁷, 30, F₃, 2, 41) (dual of [(30, 2), 3, 42]-NRT-code)	[i]