MinT - Information on Result #2807634

Information on Result #2807634

Linear OOA(256⁵⁴, large, F₂₅₆, 4, 3), using 12 times NRT-code embedding in larger space based on linear OOA(256⁶, large, F₂₅₆, 4, 3), using

appending 1 arbitrary column [i] based on linear OOA(256⁶, large, F₂₅₆, 3, 3), using
- appending kth column [i] based on linear OOA(256⁶, large, F₂₅₆, 2, 3), using
  - OAs with strength 3, bÂ â‰ Â 2, and mÂ >Â 3 are always embeddable [i] based on linear OA(256⁶, large, F₂₅₆, 3) (dual of [large, large−6, 4]-code), using
    - product of projective cap with (hyper)oval [i] based on linear OA(256⁴, 65537, F₂₅₆, 3) (dual of [65537, 65533, 4]-code or 65537-cap in PG(3,256)), using
      - ovoid in PG(3,Â 256) [i]

Mode: Constructive and linear.

Show details for fixed k and m, k and t, m and t.

None.

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(256⁵⁵, large, F₂₅₆, 4, 3)	[i]		OOA Duplication
2	Linear OOA(256⁵⁷, large, F₂₅₆, 4, 3)	[i]		OOA Duplication