MinT - Information on Result #1026400

Information on Result #1026400

Linear OOA(3¹⁴⁶, 51, F₃, 3, 112) (dual of [(51, 3), 7, 113]-NRT-code), using juxtaposition based on

linear OOA(3⁶², 23, F₃, 3, 49) (dual of [(23, 3), 7, 50]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3⁶², 24, F₃, 3, 49) (dual of [(24, 3), 10, 50]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,22P) [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(3⁷⁷, 28, F₃, 3, 62) (dual of [(28, 3), 7, 63]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;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(3¹⁴⁶, 51, F₃, 3, 111) (dual of [(51, 3), 7, 112]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(3¹⁴⁶, 51, F₃, 3, 110) (dual of [(51, 3), 7, 111]-NRT-code)	[i]		Strength Reduction for OOAs