MinT - Information on Result #2945969

Information on Result #2945969

Linear OOA(2¹²⁶, 19, F₂, 7, 108) (dual of [(19, 7), 7, 109]-NRT-code), using strength reduction based on linear OOA(2¹²⁶, 19, F₂, 7, 109) (dual of [(19, 7), 7, 110]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2⁵⁶, 9, F₂, 7, 51) (dual of [(9, 7), 7, 52]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(7;F,11P) [i] based on function field F/F₂ with g(F) = 5 and N(F) ≥ 9, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(2⁶³, 10, F₂, 7, 57) (dual of [(10, 7), 7, 58]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(7;F,12P) [i] based on function field F/F₂ with g(F) = 6 and N(F) ≥ 10, 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(2²⁵⁹, 38, F₂, 7, 217) (dual of [(38, 7), 7, 218]-NRT-code)	[i]		Repeating Each Code Word for NRT-Codes