MinT - Information on Result #2762033

Information on Result #2762033

Linear OOA(2¹⁶⁰, 42, F₂, 4, 112) (dual of [(42, 4), 8, 113]-NRT-code), using strength reduction based on linear OOA(2¹⁶⁰, 42, F₂, 4, 113) (dual of [(42, 4), 8, 114]-NRT-code), using

repeating each code word 3 times [i] based on linear OOA(2⁴⁸, 14, F₂, 4, 37) (dual of [(14, 4), 8, 38]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(4;F,18P) [i] based on function field F/F₂ with g(F) = 11 and N(F) ≥ 14, 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(2¹⁶⁰, 21, F₂, 8, 112) (dual of [(21, 8), 8, 113]-NRT-code)	[i]		OOA Folding