MinT - Information on Result #1087121

Information on Result #1087121

Linear OOA(3²⁰⁷, 59, F₃, 4, 139) (dual of [(59, 4), 29, 140]-NRT-code), using juxtaposition based on

linear OOA(3⁸⁷, 29, F₃, 4, 68) (dual of [(29, 4), 29, 69]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(3⁸³, 28, F₃, 4, 68) (dual of [(28, 4), 29, 69]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,43P) [i] based on function field F/F₃ with g(F) = 15 and N(F) ≥ 28, using
    - an explicitly constructive algebraic function field [i]
linear OOA(3⁹¹, 30, F₃, 4, 70) (dual of [(30, 4), 29, 71]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3⁹¹, 32, F₃, 4, 70) (dual of [(32, 4), 37, 71]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,57P) [i] based on function field F/F₃ with g(F) = 21 and N(F) ≥ 32, 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(3²⁰⁷, 59, F₃, 4, 138) (dual of [(59, 4), 29, 139]-NRT-code)	[i]		Strength Reduction for OOAs