MinT - Information on Result #1085922

Information on Result #1085922

Linear OOA(3¹¹⁷, 30, F₃, 4, 104) (dual of [(30, 4), 3, 105]-NRT-code), using repeating each code word 5 times based on linear OOA(3²¹, 6, F₃, 4, 20) (dual of [(6, 4), 3, 21]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(3²¹, 7, F₃, 4, 20) (dual of [(7, 4), 7, 21]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(4;F,7P) [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(3¹¹⁷, 30, F₃, 4, 103) (dual of [(30, 4), 3, 104]-NRT-code)	[i]	Strength Reduction for OOAs
2	Linear OOA(3¹¹⁷, 30, F₃, 4, 102) (dual of [(30, 4), 3, 103]-NRT-code)	[i]
3	Linear OOA(3¹¹⁷, 30, F₃, 4, 101) (dual of [(30, 4), 3, 102]-NRT-code)	[i]
4	Linear OOA(3¹¹⁷, 30, F₃, 4, 100) (dual of [(30, 4), 3, 101]-NRT-code)	[i]