MinT - Information on Result #1026300

Information on Result #1026300

Linear OOA(3¹⁸⁴, 64, F₃, 3, 138) (dual of [(64, 3), 8, 139]-NRT-code), using juxtaposition based on

linear OOA(3¹⁶, 8, F₃, 3, 14) (dual of [(8, 3), 8, 15]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,9P) [i] based on function field F/F₃ with g(F) = 2 and N(F) ≥ 8, using
  - an explicitly constructive algebraic function field [i]
linear OOA(3¹⁶⁰, 56, F₃, 3, 123) (dual of [(56, 3), 8, 124]-NRT-code), using
- repeating each code word 2 times [i] based on linear OOA(3⁷⁶, 28, F₃, 3, 61) (dual of [(28, 3), 8, 62]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,22P) [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(3¹⁸⁴, 64, F₃, 3, 137) (dual of [(64, 3), 8, 138]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(3¹⁸⁴, 64, F₃, 3, 136) (dual of [(64, 3), 8, 137]-NRT-code)	[i]		Strength Reduction for OOAs