MinT - Information on Result #1019910

Information on Result #1019910

Linear OOA(256³⁸, 5657682, F₂₅₆, 3, 8) (dual of [(5657682, 3), 16973008, 9]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(256¹⁰, 4194301, F₂₅₆, 3, 4) (dual of [(4194301, 3), 12582893, 5]-NRT-code), using
- OA 2-folding and stacking [i] based on linear OA(256¹⁰, 8388602, F₂₅₆, 4) (dual of [8388602, 8388592, 5]-code), using
  - discarding factors / shortening the dual code based on linear OA(256¹⁰, large, F₂₅₆, 4) (dual of [large, large−10, 5]-code), using
    - the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 256³âˆ’1, defining interval IÂ =Â [0,3], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 5 [i]
linear OOA(256²⁸, 2828841, F₂₅₆, 3, 8) (dual of [(2828841, 3), 8486495, 9]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(256⁶, 32640, F₂₅₆, 3, 4) (dual of [(32640, 3), 97914, 5]-NRT-code), using
    - OA 2-folding and stacking [i] based on linear OA(256⁶, 65280, F₂₅₆, 4) (dual of [65280, 65274, 5]-code), using
      - 1 times truncation [i] based on linear OA(256⁷, 65281, F₂₅₆, 5) (dual of [65281, 65274, 6]-code), using
        a code by Danev and Olsson [i]
  2. linear OOA(256²², 2796201, F₂₅₆, 3, 8) (dual of [(2796201, 3), 8388581, 9]-NRT-code), using
    - OOA 3-folding [i] based on linear OA(256²², large, F₂₅₆, 8) (dual of [large, large−22, 9]-code), using
      - the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 256³âˆ’1, defining interval IÂ =Â [0,7], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 9 [i]

Mode: Constructive and linear.

Optimality

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

Other Results with Identical Parameters

None.

Depending Results

None.