MinT - Information on Result #1024461

Information on Result #1024461

Linear OOA(4¹¹², 40, F₄, 3, 91) (dual of [(40, 3), 8, 92]-NRT-code), using repeating each code word 2 times based on linear OOA(4⁵², 20, F₄, 3, 45) (dual of [(20, 3), 8, 46]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(4⁵², 21, F₄, 3, 45) (dual of [(21, 3), 11, 46]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,17P) [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(4¹¹², 40, F₄, 3, 90) (dual of [(40, 3), 8, 91]-NRT-code)	[i]		Strength Reduction for OOAs