MinT - Information on Result #585758

Information on Result #585758

There is no linear OOA(2¹³¹, 130, F₂, 5, 71) (dual of [(130, 5), 519, 72]-NRT-code), because 3 times depth reduction would yield linear OOA(2¹³¹, 130, F₂, 2, 71) (dual of [(130, 2), 129, 72]-NRT-code), but

7 step m-reduction [i] would yield linear OA(2¹²⁴, 130, F₂, 64) (dual of [130, 6, 65]-code), but
- 1 times code embedding in larger space [i] would yield linear OA(2¹²⁵, 131, F₂, 64) (dual of [131, 6, 65]-code), but
  - Griesmer bound [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

None.