MinT - Information on Result #1050977

Information on Result #1050977

Linear OOA(256⁹, 32896, F₂₅₆, 4, 5) (dual of [(32896, 4), 131575, 6]-NRT-code), using OOA stacking with additional row based on linear OOA(256⁹, 32897, F₂₅₆, 2, 5) (dual of [(32897, 2), 65785, 6]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(256², 257, F₂₅₆, 2, 2) (dual of [(257, 2), 512, 3]-NRT-code), using
  - extended Reedâ€“Solomon NRT-code RS_e(2;512,256) [i]
2. linear OOA(256⁷, 32640, F₂₅₆, 2, 5) (dual of [(32640, 2), 65273, 6]-NRT-code), using
  - OOA 2-folding [i] based on linear OA(256⁷, 65280, F₂₅₆, 5) (dual of [65280, 65273, 6]-code), using
    - discarding factors / shortening the dual code 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(256⁵³, large, F₂₅₆, 4, 11)	[i]		Generalized (u,Â u+v)-Construction for OOAs
2	Linear OOA(256⁵⁰, large, F₂₅₆, 4, 10)	[i]		Generalized (u,Â u+v)-Construction for OOAs