MinT - Information on Result #910099

Information on Result #910099

Linear OOA(5¹⁰⁹, 56, F₅, 2, 94) (dual of [(56, 2), 3, 95]-NRT-code), using juxtaposition based on

linear OOA(5⁹, 6, F₅, 2, 9) (dual of [(6, 2), 3, 10]-NRT-code), using
- extended Reedâ€“Solomon NRT-code RS_e(2;3,5) [i]
linear OOA(5⁹⁷, 50, F₅, 2, 84) (dual of [(50, 2), 3, 85]-NRT-code), using
- repeating each code word 5 times [i] based on linear OOA(5¹⁷, 10, F₅, 2, 16) (dual of [(10, 2), 3, 17]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;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(5¹⁰⁹, 56, F₅, 2, 93) (dual of [(56, 2), 3, 94]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(5¹⁰⁹, 56, F₅, 2, 92) (dual of [(56, 2), 3, 93]-NRT-code)	[i]
3	Linear OOA(5¹⁰⁹, 56, F₅, 2, 91) (dual of [(56, 2), 3, 92]-NRT-code)	[i]
4	Linear OOA(5¹⁰⁹, 56, F₅, 2, 90) (dual of [(56, 2), 3, 91]-NRT-code)	[i]
5	Linear OOA(5¹⁰⁴, 53, F₅, 2, 89) (dual of [(53, 2), 2, 90]-NRT-code)	[i]		Truncation for OOAs
6	Linear OOA(5¹⁰⁰, 51, F₅, 2, 85) (dual of [(51, 2), 2, 86]-NRT-code)	[i]
7	Linear OOA(5⁹⁶, 49, F₅, 2, 81) (dual of [(49, 2), 2, 82]-NRT-code)	[i]
8	Linear OOA(5⁹⁵, 49, F₅, 2, 80) (dual of [(49, 2), 3, 81]-NRT-code)	[i]
9	Linear OOA(5¹²¹, 62, F₅, 2, 104) (dual of [(62, 2), 3, 105]-NRT-code)	[i]		Juxtaposition for OOAs