MinT - Information on Result #2455647

Information on Result #2455647

Linear OOA(2⁵⁴, 31, F₂, 2, 28) (dual of [(31, 2), 8, 29]-NRT-code), using 6 step truncation based on linear OOA(2⁶⁰, 34, F₂, 2, 34) (dual of [(34, 2), 8, 35]-NRT-code), using

strength reduction [i] based on linear OOA(2⁶⁰, 34, F₂, 2, 35) (dual of [(34, 2), 8, 36]-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(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(2¹¹⁵, 62, F₂, 2, 57) (dual of [(62, 2), 9, 58]-NRT-code)	[i]		(u,Â u+v)-Construction for OOAs