MinT - Information on Result #2440263

Information on Result #2440263

Linear OOA(4¹³⁴, 75, F₄, 2, 90) (dual of [(75, 2), 16, 91]-NRT-code), using strength reduction based on linear OOA(4¹³⁴, 75, F₄, 2, 91) (dual of [(75, 2), 16, 92]-NRT-code), using

concatenation of two NRT-codes [i] based on
1. linear OOA(16²², 15, F₁₆, 2, 22) (dual of [(15, 2), 8, 23]-NRT-code), using
  - discarding factors / shortening the dual code based on 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(4¹³³, 74, F₄, 2, 89) (dual of [(74, 2), 15, 90]-NRT-code)	[i]	Truncation for OOAs
2	Linear OOA(4¹³², 74, F₄, 2, 88) (dual of [(74, 2), 16, 89]-NRT-code)	[i]
3	Linear OOA(4¹³¹, 73, F₄, 2, 87) (dual of [(73, 2), 15, 88]-NRT-code)	[i]
4	Linear OOA(4¹³⁰, 73, F₄, 2, 86) (dual of [(73, 2), 16, 87]-NRT-code)	[i]
5	Linear OOA(4¹²⁹, 72, F₄, 2, 85) (dual of [(72, 2), 15, 86]-NRT-code)	[i]
6	Linear OOA(4¹²⁸, 72, F₄, 2, 84) (dual of [(72, 2), 16, 85]-NRT-code)	[i]
7	Linear OOA(4¹²⁷, 71, F₄, 2, 83) (dual of [(71, 2), 15, 84]-NRT-code)	[i]
8	Linear OOA(4¹²⁶, 71, F₄, 2, 82) (dual of [(71, 2), 16, 83]-NRT-code)	[i]
9	Linear OOA(4¹²⁵, 70, F₄, 2, 81) (dual of [(70, 2), 15, 82]-NRT-code)	[i]