MinT - Information on Result #2456028

Information on Result #2456028

Linear OOA(2⁹², 50, F₂, 2, 57) (dual of [(50, 2), 8, 58]-NRT-code), using 2 step truncation based on linear OOA(2⁹⁴, 51, F₂, 2, 59) (dual of [(51, 2), 8, 60]-NRT-code), using

concatenation of two NRT-codes [i] based on
1. linear OA(4¹³, 17, F₄, 11) (dual of [17, 4, 12]-code), using
  - projective code from ovoid in PG(3,Â 4) [i]
2. linear OOA(2⁴, 3, F₂, 2, 4) (dual of [(3, 2), 2, 5]-NRT-code), using
  - extended Reedâ€“Solomon NRT-code RS_e(2;2,2) [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(2⁹⁶, 52, F₂, 2, 57) (dual of [(52, 2), 8, 58]-NRT-code)	[i]	NRT-Code Embedding in Larger Space
2	Linear OOA(2⁹⁸, 53, F₂, 2, 57) (dual of [(53, 2), 8, 58]-NRT-code)	[i]
3	Linear OOA(2¹⁰⁰, 54, F₂, 2, 57) (dual of [(54, 2), 8, 58]-NRT-code)	[i]
4	Linear OOA(2¹⁰⁸, 58, F₂, 2, 63) (dual of [(58, 2), 8, 64]-NRT-code)	[i]	Juxtaposition for OOAs
5	Linear OOA(2⁹², 25, F₂, 4, 57) (dual of [(25, 4), 8, 58]-NRT-code)	[i]	OOA Folding