MinT - Information on Result #2774848

Information on Result #2774848

Linear OOA(3²¹², 60, F₃, 4, 147) (dual of [(60, 4), 28, 148]-NRT-code), using strength reduction based on linear OOA(3²¹², 60, F₃, 4, 149) (dual of [(60, 4), 28, 150]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(3⁸⁴, 28, F₃, 4, 69) (dual of [(28, 4), 28, 70]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,42P) [i] based on function field F/F₃ with g(F) = 15 and N(F) ≥ 28, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(3¹⁰⁰, 32, F₃, 4, 79) (dual of [(32, 4), 28, 80]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,48P) [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.

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		Method
1	Linear OOA(3²⁰³, 57, F₃, 4, 138) (dual of [(57, 4), 25, 139]-NRT-code)	[i]	Truncation for OOAs
2	Linear OOA(3²⁰², 57, F₃, 4, 137) (dual of [(57, 4), 26, 138]-NRT-code)	[i]
3	Linear OOA(3²⁰¹, 57, F₃, 4, 136) (dual of [(57, 4), 27, 137]-NRT-code)	[i]
4	Linear OOA(3²⁰⁰, 57, F₃, 4, 135) (dual of [(57, 4), 28, 136]-NRT-code)	[i]