MinT - Information on Result #2416946

Information on Result #2416946

Linear OOA(2⁵², 30, F₂, 2, 28) (dual of [(30, 2), 8, 29]-NRT-code), using strength reduction based on linear OOA(2⁵², 30, F₂, 2, 29) (dual of [(30, 2), 8, 30]-NRT-code), using

concatenation of two NRT-codes [i] based on
1. linear OA(4¹¹, 15, F₄, 9) (dual of [15, 4, 10]-code), using
  - 2 times truncation [i] based on 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(2², 2, F₂, 2, 2) (dual of [(2, 2), 2, 3]-NRT-code), using
  - Reedâ€“Solomon NRT-code RS(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		This result only	Method
1	Linear OOA(2¹⁰⁹, 58, F₂, 2, 57) (dual of [(58, 2), 7, 58]-NRT-code)	[i]		(u,Â u+v)-Construction for OOAs