MinT - Information on Result #2759548

Information on Result #2759548

Linear OOA(2¹⁰⁹, 30, F₂, 4, 72) (dual of [(30, 4), 11, 73]-NRT-code), using strength reduction based on linear OOA(2¹⁰⁹, 30, F₂, 4, 73) (dual of [(30, 4), 11, 74]-NRT-code), using

repeating each code word 2 times [i] based on linear OOA(2⁴⁹, 15, F₂, 4, 36) (dual of [(15, 4), 11, 37]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(4;F,23P) [i] based on function field F/F₂ with g(F) = 13 and N(F) ≥ 15, 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(2¹⁰⁹, 15, F₂, 8, 72) (dual of [(15, 8), 11, 73]-NRT-code)	[i]		OOA Folding