MinT - Information on Result #1023551

Information on Result #1023551

Linear OOA(2¹⁹⁹, 70, F₂, 3, 107) (dual of [(70, 3), 11, 108]-NRT-code), using repeating each code word 2 times based on linear OOA(2⁹⁴, 35, F₂, 3, 53) (dual of [(35, 3), 11, 54]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(2⁴¹, 17, F₂, 3, 26) (dual of [(17, 3), 10, 27]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,24P) [i] based on function field F/F₂ with g(F) = 15 and N(F) ≥ 17, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(2⁵³, 18, F₂, 3, 53) (dual of [(18, 3), 1, 54]-NRT-code), using
  - dual of repetition NRT-code with length 18 [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		Method
1	Linear OOA(2²⁴¹, 84, F₂, 3, 128) (dual of [(84, 3), 11, 129]-NRT-code)	[i]	Juxtaposition for OOAs
2	Linear OOA(2²⁵⁰, 87, F₂, 3, 133) (dual of [(87, 3), 11, 134]-NRT-code)	[i]
3	Linear OOA(2²⁵⁹, 90, F₂, 3, 138) (dual of [(90, 3), 11, 139]-NRT-code)	[i]