MinT - Information on Result #2456195

Information on Result #2456195

Linear OOA(2⁸⁰, 46, F₂, 2, 42) (dual of [(46, 2), 12, 43]-NRT-code), using 4 step truncation based on linear OOA(2⁸⁴, 48, F₂, 2, 46) (dual of [(48, 2), 12, 47]-NRT-code), using

strength reduction [i] based on linear OOA(2⁸⁴, 48, F₂, 2, 47) (dual of [(48, 2), 12, 48]-NRT-code), using
- concatenation of two NRT-codes [i] based on
  1. linear OA(8¹², 16, F₈, 11) (dual of [16, 4, 12]-code), using
    - a code by Marcugini, Milani, and Pambianco [i]
  2. linear OOA(2³, 3, F₂, 2, 3) (dual of [(3, 2), 3, 4]-NRT-code), using
    - extended Reedâ€“Solomon NRT-code RS_e(2;3,2) [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(2⁸⁰, 23, F₂, 4, 42) (dual of [(23, 4), 12, 43]-NRT-code)	[i]		OOA Folding