MinT - Information on Result #913337

Information on Result #913337

Linear OOA(4¹¹², 60, F₄, 2, 83) (dual of [(60, 2), 8, 84]-NRT-code), using concatenation of two NRT-codes based on

linear OA(16¹¹, 15, F₁₆, 11) (dual of [15, 4, 12]-code or 15-arc in PG(10,16)), using
- discarding factors / shortening the dual code based on linear OA(16¹¹, 16, F₁₆, 11) (dual of [16, 5, 12]-code or 16-arc in PG(10,16)), using
  - Reedâ€“Solomon code RS(5,16) [i]
linear OOA(4⁶, 4, F₄, 2, 6) (dual of [(4, 2), 2, 7]-NRT-code), using
- Reedâ€“Solomon NRT-code RS(2;2,4) [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(4¹¹², 60, F₄, 2, 82) (dual of [(60, 2), 8, 83]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(4¹¹², 60, F₄, 2, 81) (dual of [(60, 2), 8, 82]-NRT-code)	[i]		Strength Reduction for OOAs
3	Linear OOA(4¹¹¹, 59, F₄, 2, 82) (dual of [(59, 2), 7, 83]-NRT-code)	[i]		Truncation for OOAs
4	Linear OOA(4¹¹⁰, 59, F₄, 2, 81) (dual of [(59, 2), 8, 82]-NRT-code)	[i]
5	Linear OOA(4¹⁰⁹, 58, F₄, 2, 80) (dual of [(58, 2), 7, 81]-NRT-code)	[i]
6	Linear OOA(4¹⁰⁸, 58, F₄, 2, 79) (dual of [(58, 2), 8, 80]-NRT-code)	[i]
7	Linear OOA(4¹⁰⁷, 57, F₄, 2, 78) (dual of [(57, 2), 7, 79]-NRT-code)	[i]
8	Linear OOA(4¹⁰⁶, 57, F₄, 2, 77) (dual of [(57, 2), 8, 78]-NRT-code)	[i]