MinT - Information on Result #1027673

Information on Result #1027673

Linear OOA(5¹³⁵, 46, F₅, 3, 123) (dual of [(46, 3), 3, 124]-NRT-code), using juxtaposition based on

linear OOA(5¹⁵, 6, F₅, 3, 15) (dual of [(6, 3), 3, 16]-NRT-code), using
- extended Reedâ€“Solomon NRT-code RS_e(3;3,5) [i]
linear OOA(5¹¹⁷, 40, F₅, 3, 107) (dual of [(40, 3), 3, 108]-NRT-code), using
- repeating each code word 4 times [i] based on linear OOA(5²⁷, 10, F₅, 3, 26) (dual of [(10, 3), 3, 27]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,3P) [i] based on function field F/F₅ with g(F) = 1 and N(F) ≥ 10, 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		This result only	Method
1	Linear OOA(5¹³⁵, 46, F₅, 3, 122) (dual of [(46, 3), 3, 123]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(5¹³⁵, 46, F₅, 3, 121) (dual of [(46, 3), 3, 122]-NRT-code)	[i]
3	Linear OOA(5¹³⁵, 46, F₅, 3, 120) (dual of [(46, 3), 3, 121]-NRT-code)	[i]
4	Linear OOA(5¹³⁵, 46, F₅, 3, 119) (dual of [(46, 3), 3, 120]-NRT-code)	[i]
5	Linear OOA(5¹³⁵, 46, F₅, 3, 118) (dual of [(46, 3), 3, 119]-NRT-code)	[i]
6	Linear OOA(5¹³⁵, 46, F₅, 3, 117) (dual of [(46, 3), 3, 118]-NRT-code)	[i]
7	Linear OOA(5¹²⁷, 43, F₅, 3, 115) (dual of [(43, 3), 2, 116]-NRT-code)	[i]		Truncation for OOAs
8	Linear OOA(5¹²¹, 41, F₅, 3, 109) (dual of [(41, 3), 2, 110]-NRT-code)	[i]
9	Linear OOA(5¹¹⁴, 39, F₅, 3, 102) (dual of [(39, 3), 3, 103]-NRT-code)	[i]
10	Linear OOA(5¹¹², 38, F₅, 3, 100) (dual of [(38, 3), 2, 101]-NRT-code)	[i]
11	Linear OOA(5¹¹¹, 38, F₅, 3, 99) (dual of [(38, 3), 3, 100]-NRT-code)	[i]