MinT - Information on Result #2611766

Information on Result #2611766

Linear OOA(2¹¹⁶, 40, F₂, 3, 86) (dual of [(40, 3), 4, 87]-NRT-code), using strength reduction based on linear OOA(2¹¹⁶, 40, F₂, 3, 87) (dual of [(40, 3), 4, 88]-NRT-code), using

repeating each code word 8 times [i] based on linear OOA(2¹¹, 5, F₂, 3, 10) (dual of [(5, 3), 4, 11]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,4P) [i] based on function field F/F₂ with g(F) = 1 and N(F) ≥ 5, 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(2¹¹⁶, 20, F₂, 6, 86) (dual of [(20, 6), 4, 87]-NRT-code)	[i]		OOA Folding