MinT - Information on Result #2761590

Information on Result #2761590

Linear OOA(2¹⁵², 40, F₂, 4, 106) (dual of [(40, 4), 8, 107]-NRT-code), using strength reduction based on linear OOA(2¹⁵², 40, F₂, 4, 107) (dual of [(40, 4), 8, 108]-NRT-code), using

repeating each code word 4 times [i] based on linear OOA(2³², 10, F₂, 4, 26) (dual of [(10, 4), 8, 27]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(4;F,13P) [i] based on function field F/F₂ with g(F) = 6 and N(F) ≥ 10, 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(2¹⁵², 20, F₂, 8, 106) (dual of [(20, 8), 8, 107]-NRT-code)	[i]		OOA Folding