MinT - Information on Result #908175

Information on Result #908175

Linear OOA(8⁷⁵, 39, F₈, 2, 68) (dual of [(39, 2), 3, 69]-NRT-code), using repeating each code word 3 times based on linear OOA(8²³, 13, F₈, 2, 22) (dual of [(13, 2), 3, 23]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(8²³, 14, F₈, 2, 22) (dual of [(14, 2), 5, 23]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(2;F,5P) [i] based on function field F/F₈ with g(F) = 1 and N(F) ≥ 14, using
  - F₂ from the tower of function fields over F₈ by van der Geer and van der Vlugt [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(8⁷⁵, 39, F₈, 2, 67) (dual of [(39, 2), 3, 68]-NRT-code)	[i]		Strength Reduction for OOAs