MinT - Information on Result #550626

Information on Result #550626

There is no linear OOA(2³⁶, 38, F₂, 2, 21) (dual of [(38, 2), 40, 22]-NRT-code), because 5 step m-reduction would yield linear OA(2³¹, 38, F₂, 16) (dual of [38, 7, 17]-code), but

residual code [i] would yield linear OA(2¹⁵, 21, F₂, 8) (dual of [21, 6, 9]-code), but
- residual code [i] would yield linear OA(2⁷, 12, F₂, 4) (dual of [12, 5, 5]-code), but
  - bound by Fontaine and Peterson [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(2³⁶, 38, F₂, 3, 21) (dual of [(38, 3), 78, 22]-NRT-code)	[i]		Depth Reduction
2	No linear OOA(2³⁶, 38, F₂, 4, 21) (dual of [(38, 4), 116, 22]-NRT-code)	[i]
3	No linear OOA(2³⁶, 38, F₂, 5, 21) (dual of [(38, 5), 154, 22]-NRT-code)	[i]
4	No linear OOA(2³⁶, 38, F₂, 6, 21) (dual of [(38, 6), 192, 22]-NRT-code)	[i]
5	No linear OOA(2³⁶, 38, F₂, 7, 21) (dual of [(38, 7), 230, 22]-NRT-code)	[i]
6	No linear OOA(2³⁶, 38, F₂, 8, 21) (dual of [(38, 8), 268, 22]-NRT-code)	[i]