MinT - Information on Result #2459148

Information on Result #2459148

Linear OOA(2²⁰⁹, 110, F₂, 2, 116) (dual of [(110, 2), 11, 117]-NRT-code), using 3 step truncation based on linear OOA(2²¹², 112, F₂, 2, 119) (dual of [(112, 2), 12, 120]-NRT-code), using

concatenation of two NRT-codes [i] based on
1. linear OA(16¹¹, 14, F₁₆, 11) (dual of [14, 3, 12]-code or 14-arc in PG(10,16)), using
  - discarding factors / shortening the dual code based on linear OA(16¹¹, 16, F₁₆, 11) (dual of [16, 5, 12]-code or 16-arc in PG(10,16)), using
    - Reedâ€“Solomon code RS(5,16) [i]
2. linear OOA(2¹², 8, F₂, 2, 9) (dual of [(8, 2), 4, 10]-NRT-code), using
  - an explicit generator matrix by Edel [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(2²⁰⁹, 55, F₂, 4, 116) (dual of [(55, 4), 11, 117]-NRT-code)	[i]		OOA Folding