MinT - Information on Result #2456622

Information on Result #2456622

Linear OOA(2¹⁰³, 56, F₂, 2, 57) (dual of [(56, 2), 9, 58]-NRT-code), using 2 step truncation based on linear OOA(2¹⁰⁵, 57, F₂, 2, 59) (dual of [(57, 2), 9, 60]-NRT-code), using

concatenation of two NRT-codes [i] based on
1. linear OA(8¹⁶, 19, F₈, 14) (dual of [19, 3, 15]-code), using
  - discarding factors / shortening the dual code based on linear OA(8¹⁶, 20, F₈, 14) (dual of [20, 4, 15]-code), using
    - a quasi-cyclic code by Gulliver and Bhargava [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(2¹⁰³, 28, F₂, 4, 57) (dual of [(28, 4), 9, 58]-NRT-code)	[i]		OOA Folding