MinT - Information on Result #563581

Information on Result #563581

There is no linear OOA(8¹⁷³, 170, F₈, 2, 153) (dual of [(170, 2), 167, 154]-NRT-code), because 9 step m-reduction would yield linear OA(8¹⁶⁴, 170, F₈, 144) (dual of [170, 6, 145]-code), but

constructionÂ Y1 [i] would yield
1. linear OA(8¹⁶³, 166, F₈, 144) (dual of [166, 3, 145]-code), but
  - Griesmer bound [i]
2. OA(8⁶, 170, S₈, 4), but
  - discarding factors would yield OA(8⁶, 104, S₈, 4), but
    - the Rao or (dual) Hamming bound shows that MÂ â‰¥ 263173 > 8⁶ [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(8¹⁷³, 170, F₈, 3, 153) (dual of [(170, 3), 337, 154]-NRT-code)	[i]		Depth Reduction