MinT - Information on Result #2610029

Information on Result #2610029

Linear OOA(2⁵⁴, 20, F₂, 3, 36) (dual of [(20, 3), 6, 37]-NRT-code), using strength reduction based on linear OOA(2⁵⁴, 20, F₂, 3, 37) (dual of [(20, 3), 6, 38]-NRT-code), using

repeating each code word 2 times [i] based on linear OOA(2²⁴, 10, F₂, 3, 18) (dual of [(10, 3), 6, 19]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,11P) [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(2⁵⁴, 10, F₂, 6, 36) (dual of [(10, 6), 6, 37]-NRT-code)	[i]		OOA Folding