MinT - Information on Result #2764080

Information on Result #2764080

Linear OOA(2¹⁹⁷, 50, F₂, 4, 166) (dual of [(50, 4), 3, 167]-NRT-code), using strength reduction based on linear OOA(2¹⁹⁷, 50, F₂, 4, 169) (dual of [(50, 4), 3, 170]-NRT-code), using

repeating each code word 10 times [i] based on linear OOA(2¹⁷, 5, F₂, 4, 16) (dual of [(5, 4), 3, 17]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(4;F,3P) [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(2¹⁹⁷, 25, F₂, 8, 166) (dual of [(25, 8), 3, 167]-NRT-code)	[i]		OOA Folding