MinT - Information on Result #912187

Information on Result #912187

Linear OOA(3¹⁴⁰, 72, F₃, 2, 104) (dual of [(72, 2), 4, 105]-NRT-code), using concatenation of two NRT-codes based on

linear OA(9²², 24, F₉, 20) (dual of [24, 2, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(9²², 25, F₉, 20) (dual of [25, 3, 21]-code), using
  - 3 times truncation [i] based on linear OA(9²⁵, 28, F₉, 23) (dual of [28, 3, 24]-code), using
    - Hermitian unital [i]
linear OOA(3⁴, 3, F₃, 2, 4) (dual of [(3, 2), 2, 5]-NRT-code), using
- Reedâ€“Solomon NRT-code RS(2;2,3) [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(3¹⁴⁰, 72, F₃, 2, 103) (dual of [(72, 2), 4, 104]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(3¹⁴⁰, 72, F₃, 2, 102) (dual of [(72, 2), 4, 103]-NRT-code)	[i]		Strength Reduction for OOAs