MinT - Information on Result #1027570

Information on Result #1027570

Linear OOA(4¹²⁰, 41, F₄, 3, 108) (dual of [(41, 3), 3, 109]-NRT-code), using juxtaposition based on

linear OOA(4¹², 5, F₄, 3, 12) (dual of [(5, 3), 3, 13]-NRT-code), using
- extended Reedâ€“Solomon NRT-code RS_e(3;3,4) [i]
linear OOA(4¹⁰⁵, 36, F₄, 3, 95) (dual of [(36, 3), 3, 96]-NRT-code), using
- repeating each code word 4 times [i] based on linear OOA(4²⁴, 9, F₄, 3, 23) (dual of [(9, 3), 3, 24]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,3P) [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(4¹²⁰, 41, F₄, 3, 107) (dual of [(41, 3), 3, 108]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(4¹²⁰, 41, F₄, 3, 106) (dual of [(41, 3), 3, 107]-NRT-code)	[i]
3	Linear OOA(4¹²⁰, 41, F₄, 3, 105) (dual of [(41, 3), 3, 106]-NRT-code)	[i]
4	Linear OOA(4¹²⁰, 41, F₄, 3, 104) (dual of [(41, 3), 3, 105]-NRT-code)	[i]
5	Linear OOA(4¹²⁰, 41, F₄, 3, 103) (dual of [(41, 3), 3, 104]-NRT-code)	[i]
6	Linear OOA(4¹²⁰, 41, F₄, 3, 102) (dual of [(41, 3), 3, 103]-NRT-code)	[i]
7	Linear OOA(4¹¹², 38, F₄, 3, 100) (dual of [(38, 3), 2, 101]-NRT-code)	[i]		Truncation for OOAs
8	Linear OOA(4¹⁰⁹, 37, F₄, 3, 97) (dual of [(37, 3), 2, 98]-NRT-code)	[i]
9	Linear OOA(4¹⁰⁰, 34, F₄, 3, 88) (dual of [(34, 3), 2, 89]-NRT-code)	[i]
10	Linear OOA(4⁹⁹, 34, F₄, 3, 87) (dual of [(34, 3), 3, 88]-NRT-code)	[i]
11	Linear OOA(4⁹⁶, 33, F₄, 3, 84) (dual of [(33, 3), 3, 85]-NRT-code)	[i]
12	Linear OOA(4¹³⁵, 46, F₄, 3, 121) (dual of [(46, 3), 3, 122]-NRT-code)	[i]		Juxtaposition for OOAs