MinT - Information on Result #2776992

Information on Result #2776992

Linear OOA(3²⁴⁰, 85, F₃, 4, 114) (dual of [(85, 4), 100, 115]-NRT-code), using strength reduction based on linear OOA(3²⁴⁰, 85, F₃, 4, 115) (dual of [(85, 4), 100, 116]-NRT-code), using

generalized (u,Â u+v)-construction [i] based on
1. linear OOA(3⁵³, 28, F₃, 4, 38) (dual of [(28, 4), 59, 39]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,73P) [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(3⁷², 28, F₃, 4, 57) (dual of [(28, 4), 40, 58]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,54P) [i] based on function field F/F₃ with g(F) = 15 and N(F) ≥ 28 (see above)
3. linear OOA(3¹¹⁵, 29, F₃, 4, 115) (dual of [(29, 4), 1, 116]-NRT-code), using
  - dual of repetition NRT-code with length 29 [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(3²⁴⁴, 86, F₃, 4, 114) (dual of [(86, 4), 100, 115]-NRT-code)	[i]	NRT-Code Embedding in Larger Space
2	Linear OOA(3²⁴¹, 85, F₃, 4, 114) (dual of [(85, 4), 99, 115]-NRT-code)	[i]	OOA Duplication
3	Linear OOA(3²⁴², 85, F₃, 4, 114) (dual of [(85, 4), 98, 115]-NRT-code)	[i]	OOA Duplication