MinT - Information on Result #2609911

Information on Result #2609911

Linear OOA(2⁴⁷, 18, F₂, 3, 30) (dual of [(18, 3), 7, 31]-NRT-code), using strength reduction based on linear OOA(2⁴⁷, 18, F₂, 3, 31) (dual of [(18, 3), 7, 32]-NRT-code), using

repeating each code word 2 times [i] based on linear OOA(2²⁰, 9, F₂, 3, 15) (dual of [(9, 3), 7, 16]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,11P) [i] based on function field F/F₂ with g(F) = 5 and N(F) ≥ 9, 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(2⁴⁷, 9, F₂, 6, 30) (dual of [(9, 6), 7, 31]-NRT-code)	[i]		OOA Folding