MinT - Information on Result #2440433

Information on Result #2440433

Linear OOA(4¹⁴⁰, 80, F₄, 2, 90) (dual of [(80, 2), 20, 91]-NRT-code), using strength reduction based on linear OOA(4¹⁴⁰, 80, F₄, 2, 91) (dual of [(80, 2), 20, 92]-NRT-code), using

concatenation of two NRT-codes [i] based on
1. linear OOA(16²², 16, F₁₆, 2, 22) (dual of [(16, 2), 10, 23]-NRT-code), using
  - Reedâ€“Solomon NRT-code RS(2;10,16) [i]
2. linear OA(4³, 5, F₄, 3) (dual of [5, 2, 4]-code or 5-arc in PG(2,4) or 5-cap in PG(2,4)), using
  - extended Reedâ€“Solomon code RS_e(2,4) [i]
  - Simplex code S(2,4) [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(4¹³⁹, 79, F₄, 2, 89) (dual of [(79, 2), 19, 90]-NRT-code)	[i]	Truncation for OOAs
2	Linear OOA(4¹³⁸, 79, F₄, 2, 88) (dual of [(79, 2), 20, 89]-NRT-code)	[i]
3	Linear OOA(4¹³⁷, 78, F₄, 2, 87) (dual of [(78, 2), 19, 88]-NRT-code)	[i]
4	Linear OOA(4¹³⁶, 78, F₄, 2, 86) (dual of [(78, 2), 20, 87]-NRT-code)	[i]
5	Linear OOA(4¹³⁵, 77, F₄, 2, 85) (dual of [(77, 2), 19, 86]-NRT-code)	[i]
6	Linear OOA(4¹³⁴, 77, F₄, 2, 84) (dual of [(77, 2), 20, 85]-NRT-code)	[i]
7	Linear OOA(4¹³³, 76, F₄, 2, 83) (dual of [(76, 2), 19, 84]-NRT-code)	[i]
8	Linear OOA(4¹³¹, 75, F₄, 2, 81) (dual of [(75, 2), 19, 82]-NRT-code)	[i]