MinT - Information on Result #1071415

Information on Result #1071415

Linear OOA(256³¹, 2113470, F₂₅₆, 4, 9) (dual of [(2113470, 4), 8453849, 10]-NRT-code), using OOA 2-folding based on linear OOA(256³¹, 4226940, F₂₅₆, 2, 9) (dual of [(4226940, 2), 8453849, 10]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(256³¹, 4226941, F₂₅₆, 2, 9) (dual of [(4226941, 2), 8453851, 10]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(256⁶, 32640, F₂₅₆, 2, 4) (dual of [(32640, 2), 65274, 5]-NRT-code), using
    - OOA 2-folding [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(256²⁵, 4194301, F₂₅₆, 2, 9) (dual of [(4194301, 2), 8388577, 10]-NRT-code), using
    - OOA 2-folding [i] based on linear OA(256²⁵, 8388602, F₂₅₆, 9) (dual of [8388602, 8388577, 10]-code), using
      - discarding factors / shortening the dual code based on linear OA(256²⁵, large, F₂₅₆, 9) (dual of [large, large−25, 10]-code), using
        the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 256³âˆ’1, defining interval IÂ =Â [0,8], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 10 [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.