MinT - Information on Result #907899

Information on Result #907899

Linear OOA(4²²¹, 112, F₄, 2, 181) (dual of [(112, 2), 3, 182]-NRT-code), using repeating each code word 14 times based on linear OOA(4¹³, 8, F₄, 2, 12) (dual of [(8, 2), 3, 13]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(4¹³, 9, F₄, 2, 12) (dual of [(9, 2), 5, 13]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(2;F,5P) [i] based on function field F/F₄ with g(F) = 1 and N(F) ≥ 9, using
  - the Hermitian function field over F₄ [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(4²²¹, 112, F₄, 2, 180) (dual of [(112, 2), 3, 181]-NRT-code)	[i]	Strength Reduction for OOAs
2	Linear OOA(4²²¹, 112, F₄, 2, 179) (dual of [(112, 2), 3, 180]-NRT-code)	[i]
3	Linear OOA(4²²¹, 112, F₄, 2, 178) (dual of [(112, 2), 3, 179]-NRT-code)	[i]