MinT - Information on Result #1138405

Information on Result #1138405

Linear OOA(256⁹, 32897, F₂₅₆, 6, 5) (dual of [(32897, 6), 197373, 6]-NRT-code), using appending 1 arbitrary column based on linear OOA(256⁹, 32897, F₂₅₆, 5, 5) (dual of [(32897, 5), 164476, 6]-NRT-code), using

appending kth column [i] based on linear OOA(256⁹, 32897, F₂₅₆, 4, 5) (dual of [(32897, 4), 131579, 6]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(256², 257, F₂₅₆, 4, 2) (dual of [(257, 4), 1026, 3]-NRT-code), using
    - extended Reedâ€“Solomon NRT-code RS_e(4;1026,256) [i]
  2. linear OOA(256⁷, 32640, F₂₅₆, 4, 5) (dual of [(32640, 4), 130553, 6]-NRT-code), using
    - OOA 2-folding and stacking with additional row [i] based on linear OA(256⁷, 65281, F₂₅₆, 5) (dual of [65281, 65274, 6]-code), using
      - a code by Danev and Olsson [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(256³⁷, 1710617, F₂₅₆, 6, 10) (dual of [(1710617, 6), 10263665, 11]-NRT-code)	[i]		(u,Â u+v)-Construction for OOAs
2	Linear OOA(256⁴⁰, 1710617, F₂₅₆, 6, 11) (dual of [(1710617, 6), 10263662, 12]-NRT-code)	[i]		(u,Â u+v)-Construction for OOAs