MinT - Information on Result #2459077

Information on Result #2459077

Linear OOA(2²²⁸, 119, F₂, 2, 136) (dual of [(119, 2), 10, 137]-NRT-code), using 2 step truncation based on linear OOA(2²³⁰, 120, F₂, 2, 138) (dual of [(120, 2), 10, 139]-NRT-code), using

strength reduction [i] based on linear OOA(2²³⁰, 120, F₂, 2, 139) (dual of [(120, 2), 10, 140]-NRT-code), using
- concatenation of two NRT-codes [i] based on
  1. 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(2²³², 121, F₂, 2, 136) (dual of [(121, 2), 10, 137]-NRT-code)	[i]		NRT-Code Embedding in Larger Space