MinT - Information on Result #1024360

Information on Result #1024360

Linear OOA(4¹¹³, 39, F₄, 3, 98) (dual of [(39, 3), 4, 99]-NRT-code), using repeating each code word 3 times based on linear OOA(4³⁵, 13, F₄, 3, 32) (dual of [(13, 3), 4, 33]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(4³⁵, 14, F₄, 3, 32) (dual of [(14, 3), 7, 33]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,9P) [i] based on function field F/F₄ with g(F) = 3 and N(F) ≥ 14, 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(4¹¹³, 39, F₄, 3, 97) (dual of [(39, 3), 4, 98]-NRT-code)	[i]	Strength Reduction for OOAs
2	Linear OOA(4¹¹³, 39, F₄, 3, 96) (dual of [(39, 3), 4, 97]-NRT-code)	[i]
3	Linear OOA(4¹¹³, 39, F₄, 3, 95) (dual of [(39, 3), 4, 96]-NRT-code)	[i]