MinT - Information on Result #1024452

Information on Result #1024452

Linear OOA(4¹¹⁰, 40, F₄, 3, 87) (dual of [(40, 3), 10, 88]-NRT-code), using repeating each code word 2 times based on linear OOA(4⁵⁰, 20, F₄, 3, 43) (dual of [(20, 3), 10, 44]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(4⁵⁰, 21, F₄, 3, 43) (dual of [(21, 3), 13, 44]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,19P) [i] based on function field F/F₄ with g(F) = 7 and N(F) ≥ 21, 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		This result only	Method
1	Linear OOA(4¹¹⁰, 40, F₄, 3, 86) (dual of [(40, 3), 10, 87]-NRT-code)	[i]		Strength Reduction for OOAs