MinT - Information on Result #2781448

Information on Result #2781448

Linear OOA(2²⁵³, 64, F₂, 4, 214) (dual of [(64, 4), 3, 215]-NRT-code), using 4 step truncation based on linear OOA(2²⁵⁷, 65, F₂, 4, 218) (dual of [(65, 4), 3, 219]-NRT-code), using

strength reduction [i] based on linear OOA(2²⁵⁷, 65, F₂, 4, 220) (dual of [(65, 4), 3, 221]-NRT-code), using
- repeating each code word 13 times [i] based on linear OOA(2¹⁷, 5, F₂, 4, 16) (dual of [(5, 4), 3, 17]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;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(2²⁵³, 32, F₂, 8, 214) (dual of [(32, 8), 3, 215]-NRT-code)	[i]		OOA Folding