MinT - Information on Result #2981080

Information on Result #2981080

Linear OOA(2⁸⁴, 11, F₂, 8, 77) (dual of [(11, 8), 4, 78]-NRT-code), using strength reduction based on linear OOA(2⁸⁴, 11, F₂, 8, 78) (dual of [(11, 8), 4, 79]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2³⁶, 5, F₂, 8, 35) (dual of [(5, 8), 4, 36]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(8;F,4P) [i] based on function field F/F₂ with g(F) = 1 and N(F) ≥ 5, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(2⁴⁴, 6, F₂, 8, 42) (dual of [(6, 8), 4, 43]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(8;F,5P) [i] based on function field F/F₂ with g(F) = 2 and N(F) ≥ 6, 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(2²⁶⁰, 33, F₂, 8, 233) (dual of [(33, 8), 4, 234]-NRT-code)	[i]		Repeating Each Code Word for NRT-Codes