MinT - Information on Result #2611993

Information on Result #2611993

Linear OOA(2¹²², 42, F₂, 3, 89) (dual of [(42, 3), 4, 90]-NRT-code), using strength reduction based on linear OOA(2¹²², 42, F₂, 3, 90) (dual of [(42, 3), 4, 91]-NRT-code), using

repeating each code word 7 times [i] based on linear OOA(2¹⁴, 6, F₂, 3, 12) (dual of [(6, 3), 4, 13]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,5P) [i] based on function field F/F₂ with g(F) = 2 and N(F) ≥ 6, 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(2¹²², 21, F₂, 6, 89) (dual of [(21, 6), 4, 90]-NRT-code)	[i]		OOA Folding