MinT - Information on Result #2806157

Information on Result #2806157

Linear OOA(3²⁴⁸, 85, F₃, 4, 123) (dual of [(85, 4), 92, 124]-NRT-code), using 1 times NRT-code embedding in larger space based on linear OOA(3²⁴⁴, 84, F₃, 4, 123) (dual of [(84, 4), 92, 124]-NRT-code), using

generalized (u,Â u+v)-construction [i] based on
1. linear OOA(3⁵⁶, 28, F₃, 4, 41) (dual of [(28, 4), 56, 42]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,70P) [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(3⁷⁶, 28, F₃, 4, 61) (dual of [(28, 4), 36, 62]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,50P) [i] based on function field F/F₃ with g(F) = 15 and N(F) ≥ 28 (see above)
3. linear OOA(3¹¹², 28, F₃, 4, 112) (dual of [(28, 4), 0, 113]-NRT-code), using
  - complete OOA / dual of NRT-code with only one code word [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		This result only	Method
1	Linear OOA(3²⁴⁹, 85, F₃, 4, 123) (dual of [(85, 4), 91, 124]-NRT-code)	[i]		OOA Duplication
2	Linear OOA(3²⁵⁰, 85, F₃, 4, 123) (dual of [(85, 4), 90, 124]-NRT-code)	[i]		OOA Duplication