MinT - Information on Result #2458850

Information on Result #2458850

Linear OOA(2²¹⁰, 110, F₂, 2, 122) (dual of [(110, 2), 10, 123]-NRT-code), using 2 step truncation based on linear OOA(2²¹², 111, F₂, 2, 124) (dual of [(111, 2), 10, 125]-NRT-code), using

concatenation of two NRT-codes [i] based on
1. linear OA(4³², 37, F₄, 24) (dual of [37, 5, 25]-code), using
  - 3 times truncation [i] based on linear OA(4³⁵, 40, F₄, 27) (dual of [40, 5, 28]-code), using
    - a quasi-cyclic code by Gulliver and Bhargava [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		This result only	Method
1	Linear OOA(2²¹⁰, 55, F₂, 4, 122) (dual of [(55, 4), 10, 123]-NRT-code)	[i]		OOA Folding