MinT - Information on Result #1161465

Information on Result #1161465

Linear OOA(2²⁵⁹, 38, F₂, 7, 217) (dual of [(38, 7), 7, 218]-NRT-code), using repeating each code word 2 times based on linear OOA(2¹²⁶, 19, F₂, 7, 108) (dual of [(19, 7), 7, 109]-NRT-code), using

strength reduction [i] 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		Method
1	Linear OOA(2²⁵⁹, 38, F₂, 7, 216) (dual of [(38, 7), 7, 217]-NRT-code)	[i]	Strength Reduction for OOAs
2	Linear OOA(2²⁵⁹, 38, F₂, 7, 215) (dual of [(38, 7), 7, 216]-NRT-code)	[i]
3	Linear OOA(2²⁵⁹, 38, F₂, 7, 214) (dual of [(38, 7), 7, 215]-NRT-code)	[i]
4	Linear OOA(2²⁵⁹, 38, F₂, 7, 213) (dual of [(38, 7), 7, 214]-NRT-code)	[i]
5	Linear OOA(2²⁵⁹, 38, F₂, 7, 212) (dual of [(38, 7), 7, 213]-NRT-code)	[i]
6	Linear OOA(2²⁵⁹, 38, F₂, 7, 211) (dual of [(38, 7), 7, 212]-NRT-code)	[i]
7	Linear OOA(2²⁵⁹, 38, F₂, 7, 210) (dual of [(38, 7), 7, 211]-NRT-code)	[i]
8	Linear OOA(2²⁵⁹, 38, F₂, 7, 209) (dual of [(38, 7), 7, 210]-NRT-code)	[i]