MinT - Information on Result #909629

Information on Result #909629

Linear OOA(4¹²⁶, 66, F₄, 2, 96) (dual of [(66, 2), 6, 97]-NRT-code), using juxtaposition based on

linear OOA(4¹⁴, 10, F₄, 2, 12) (dual of [(10, 2), 6, 13]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(2;F,7P) [i] based on function field F/F₄ with g(F) = 2 and N(F) ≥ 10, using
  - an explicitly constructive algebraic function field [i]
linear OOA(4¹⁰⁶, 56, F₄, 2, 83) (dual of [(56, 2), 6, 84]-NRT-code), using
- generalized (u,Â u+v)-construction [i] based on
  1. linear OOA(4²³, 14, F₄, 2, 20) (dual of [(14, 2), 5, 21]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(2;F,7P) [i] based on function field F/F₄ with g(F) = 3 and N(F) ≥ 14, using
      - an explicitly constructive algebraic function field [i]
  2. linear OOA(4²⁷, 14, F₄, 2, 27) (dual of [(14, 2), 1, 28]-NRT-code), using
    - dual of repetition NRT-code with length 14 [i]
  3. linear OOA(4²⁸, 14, F₄, 2, 28) (dual of [(14, 2), 0, 29]-NRT-code), using
    - complete OOA / dual of NRT-code with only one code word [i]
  4. linear OOA(4²⁸, 14, F₄, 2, 28) (dual of [(14, 2), 0, 29]-NRT-code) (see above)

Mode: Constructive and linear.

None.

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(4¹⁵², 79, F₄, 2, 114) (dual of [(79, 2), 6, 115]-NRT-code)	[i]		Juxtaposition for OOAs
2	Linear OOA(4¹⁵⁴, 80, F₄, 2, 116) (dual of [(80, 2), 6, 117]-NRT-code)	[i]		Juxtaposition for OOAs