MinT - Information on Result #2429477

Information on Result #2429477

Linear OOA(2²⁵⁷, 130, F₂, 2, 179) (dual of [(130, 2), 3, 180]-NRT-code), using strength reduction based on linear OOA(2²⁵⁷, 130, F₂, 2, 181) (dual of [(130, 2), 3, 182]-NRT-code), using

repeating each code word 26 times [i] based on linear OOA(2⁷, 5, F₂, 2, 6) (dual of [(5, 2), 3, 7]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(2;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(2²⁵⁷, 65, F₂, 4, 179) (dual of [(65, 4), 3, 180]-NRT-code)	[i]		OOA Folding