MinT - Information on Result #909887

Information on Result #909887

Linear OOA(4¹⁶⁶, 85, F₄, 2, 132) (dual of [(85, 2), 4, 133]-NRT-code), using juxtaposition based on

linear OOA(4²⁴, 14, F₄, 2, 21) (dual of [(14, 2), 4, 22]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(2;F,6P) [i] based on function field F/F₄ with g(F) = 3 and N(F) ≥ 14, using
  - an explicitly constructive algebraic function field [i]
linear OOA(4¹³⁸, 71, F₄, 2, 110) (dual of [(71, 2), 4, 111]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(4²⁴, 14, F₄, 2, 21) (dual of [(14, 2), 4, 22]-NRT-code) (see above)
  2. linear OOA(4¹¹⁰, 57, F₄, 2, 88) (dual of [(57, 2), 4, 89]-NRT-code), using
    - juxtaposition [i] based on
      1. linear OOA(4²⁴, 14, F₄, 2, 21) (dual of [(14, 2), 4, 22]-NRT-code) (see above)
      2. linear OOA(4⁸², 43, F₄, 2, 66) (dual of [(43, 2), 4, 67]-NRT-code), using
        juxtaposition [i] based on
        linear OOA(4²⁴, 14, F₄, 2, 21) (dual of [(14, 2), 4, 22]-NRT-code) (see above)
        linear OOA(4⁵⁴, 29, F₄, 2, 44) (dual of [(29, 2), 4, 45]-NRT-code), using
        juxtaposition [i] based on
        linear OOA(4²⁴, 14, F₄, 2, 21) (dual of [(14, 2), 4, 22]-NRT-code) (see above)
        linear OOA(4²⁶, 15, F₄, 2, 22) (dual of [(15, 2), 4, 23]-NRT-code), using
        extended algebraic-geometric NRT-code AG_e(2;F,7P) [i] based on function field F/F₄ with g(F) = 4 and N(F) ≥ 15, using
        an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

None.

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(4¹⁹⁴, 99, F₄, 2, 154) (dual of [(99, 2), 4, 155]-NRT-code)	[i]		Juxtaposition for OOAs