MinT - Information on Result #907892

Information on Result #907892

Linear OOA(4¹⁰⁹, 56, F₄, 2, 90) (dual of [(56, 2), 3, 91]-NRT-code), using repeating each code word 7 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(4¹⁰⁹, 56, F₄, 2, 89) (dual of [(56, 2), 3, 90]-NRT-code)	[i]	Strength Reduction for OOAs
2	Linear OOA(4¹⁰⁹, 56, F₄, 2, 88) (dual of [(56, 2), 3, 89]-NRT-code)	[i]
3	Linear OOA(4¹⁰⁹, 56, F₄, 2, 87) (dual of [(56, 2), 3, 88]-NRT-code)	[i]
4	Linear OOA(4¹⁰⁹, 56, F₄, 2, 86) (dual of [(56, 2), 3, 87]-NRT-code)	[i]