MinT - Information on Result #1027490

Information on Result #1027490

Linear OOA(4²²⁴, 76, F₄, 3, 192) (dual of [(76, 3), 4, 193]-NRT-code), using juxtaposition based on

linear OOA(4⁸, 4, F₄, 3, 8) (dual of [(4, 3), 4, 9]-NRT-code), using
- Reedâ€“Solomon NRT-code RS(3;4,4) [i]
linear OOA(4²¹², 72, F₄, 3, 183) (dual of [(72, 3), 4, 184]-NRT-code), using
- repeating each code word 8 times [i] based on linear OOA(4²³, 9, F₄, 3, 22) (dual of [(9, 3), 4, 23]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,4P) [i] based on function field F/F₄ with g(F) = 1 and N(F) ≥ 9, using
    - the Hermitian function field over F₄ [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(4²²⁴, 76, F₄, 3, 191) (dual of [(76, 3), 4, 192]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(4²²⁴, 76, F₄, 3, 190) (dual of [(76, 3), 4, 191]-NRT-code)	[i]
3	Linear OOA(4²²⁴, 76, F₄, 3, 189) (dual of [(76, 3), 4, 190]-NRT-code)	[i]
4	Linear OOA(4²²⁴, 76, F₄, 3, 188) (dual of [(76, 3), 4, 189]-NRT-code)	[i]
5	Linear OOA(4²²⁴, 76, F₄, 3, 187) (dual of [(76, 3), 4, 188]-NRT-code)	[i]
6	Linear OOA(4²²⁴, 76, F₄, 3, 186) (dual of [(76, 3), 4, 187]-NRT-code)	[i]
7	Linear OOA(4²²⁴, 76, F₄, 3, 185) (dual of [(76, 3), 4, 186]-NRT-code)	[i]
8	Linear OOA(4²²⁴, 76, F₄, 3, 184) (dual of [(76, 3), 4, 185]-NRT-code)	[i]
9	Linear OOA(4²²⁴, 76, F₄, 3, 183) (dual of [(76, 3), 4, 184]-NRT-code)	[i]