MinT - Information on Result #941894

Information on Result #941894

Linear OOA(4²⁵⁸, 132, F₄, 2, 204) (dual of [(132, 2), 6, 205]-NRT-code), using juxtaposition based on

linear OOA(4¹⁸, 12, F₄, 2, 15) (dual of [(12, 2), 6, 16]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4¹⁸, 14, F₄, 2, 15) (dual of [(14, 2), 10, 16]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,12P) [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(4²³⁴, 120, F₄, 2, 188) (dual of [(120, 2), 6, 189]-NRT-code), using
- concatenation of two NRT-codes [i] based on
  1. linear OA(16²¹, 24, F₁₆, 20) (dual of [24, 3, 21]-code), using
    - extended algebraic-geometric code AG_e(F,3P) [i] based on function field F/F₁₆ with g(F) = 1 and N(F) ≥ 24, using
      - a function field by SÃ©mirat [i]
  2. linear OOA(4⁸, 5, F₄, 2, 8) (dual of [(5, 2), 2, 9]-NRT-code), using
    - extended Reedâ€“Solomon NRT-code RS_e(2;2,4) [i]

Mode: Constructive and linear.

None.

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(4²⁵⁸, 132, F₄, 2, 203) (dual of [(132, 2), 6, 204]-NRT-code)	[i]		Strength Reduction for OOAs