MinT - Information on Result #1087265

Information on Result #1087265

Linear OOA(3¹⁵⁸, 44, F₃, 4, 117) (dual of [(44, 4), 18, 118]-NRT-code), using juxtaposition based on

linear OOA(3⁵⁴, 18, F₃, 4, 45) (dual of [(18, 4), 18, 46]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3⁵⁴, 19, F₃, 4, 45) (dual of [(19, 4), 22, 46]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,30P) [i] based on function field F/F₃ with g(F) = 9 and N(F) ≥ 19, using
    - an explicitly constructive algebraic function field [i]
linear OOA(3⁸⁶, 26, F₃, 4, 71) (dual of [(26, 4), 18, 72]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3⁸⁶, 28, F₃, 4, 71) (dual of [(28, 4), 26, 72]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,40P) [i] based on function field F/F₃ with g(F) = 15 and N(F) ≥ 28, 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(3¹⁵⁸, 44, F₃, 4, 116) (dual of [(44, 4), 18, 117]-NRT-code)	[i]		Strength Reduction for OOAs