MinT - Information on Result #1019883

Information on Result #1019883

Linear OOA(256²⁸, large, F₂₅₆, 3, 6), using (u,Â u+v)-construction 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]
linear OOA(256²², 5592402, F₂₅₆, 3, 6) (dual of [(5592402, 3), 16777184, 7]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(256⁶, large, F₂₅₆, 3, 3) (see above)
  2. linear OOA(256¹⁶, 2796201, F₂₅₆, 3, 6) (dual of [(2796201, 3), 8388587, 7]-NRT-code), using
    - OOA 3-folding [i] based on linear OA(256¹⁶, large, F₂₅₆, 6) (dual of [large, large−16, 7]-code), using
      - the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 256³âˆ’1, defining interval IÂ =Â [0,5], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 7 [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: