MinT - Information on Result #1026033

Information on Result #1026033

Linear OOA(3¹³⁷, 51, F₃, 3, 94) (dual of [(51, 3), 16, 95]-NRT-code), using juxtaposition based on

linear OOA(3⁵³, 23, F₃, 3, 40) (dual of [(23, 3), 16, 41]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3⁵³, 24, F₃, 3, 40) (dual of [(24, 3), 19, 41]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,31P) [i] based on function field F/F₃ with g(F) = 13 and N(F) ≥ 24, using
    - a function field by SÃ©mirat [i]
linear OOA(3⁶⁸, 28, F₃, 3, 53) (dual of [(28, 3), 16, 54]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,30P) [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(3¹³⁷, 51, F₃, 3, 93) (dual of [(51, 3), 16, 94]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(3¹³⁷, 51, F₃, 3, 92) (dual of [(51, 3), 16, 93]-NRT-code)	[i]		Strength Reduction for OOAs