MinT - Information on Result #1087556

Information on Result #1087556

Linear OOA(3¹⁷³, 45, F₃, 4, 143) (dual of [(45, 4), 7, 144]-NRT-code), using juxtaposition based on

linear OOA(3⁶¹, 17, F₃, 4, 52) (dual of [(17, 4), 7, 53]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3⁶¹, 19, F₃, 4, 52) (dual of [(19, 4), 15, 53]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,23P) [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(3¹⁰⁵, 28, F₃, 4, 90) (dual of [(28, 4), 7, 91]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(4;F,21P) [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(3¹⁷³, 45, F₃, 4, 142) (dual of [(45, 4), 7, 143]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(3¹⁷³, 45, F₃, 4, 141) (dual of [(45, 4), 7, 142]-NRT-code)	[i]		Strength Reduction for OOAs