MinT - Information on Result #559812

Information on Result #559812

There is no linear OOA(4¹³⁷, 92, F₄, 2, 116) (dual of [(92, 2), 47, 117]-NRT-code), because 52 step m-reduction would yield linear OA(4⁸⁵, 92, F₄, 64) (dual of [92, 7, 65]-code), but

constructionÂ Y1 [i] would yield
1. linear OA(4⁸⁴, 88, F₄, 64) (dual of [88, 4, 65]-code), but
  - Griesmer bound [i]
2. OA(4⁷, 92, S₄, 4), but
  - discarding factors would yield OA(4⁷, 61, S₄, 4), but
    - the Rao or (dual) Hamming bound shows that MÂ â‰¥ 16654 > 4⁷ [i]

Mode: Bound (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	No linear OOA(4¹³⁷, 92, F₄, 3, 116) (dual of [(92, 3), 139, 117]-NRT-code)	[i]		Depth Reduction