Information on Result #906775

Linear OOA(2721, 7174575, F27, 2, 4) (dual of [(7174575, 2), 14349129, 5]-NRT-code), using generalized (u, u+v)-construction based on
  1. linear OOA(270, 265725, F27, 2, 0) (dual of [(265725, 2), 531450, 1]-NRT-code), using
  2. linear OOA(270, 265725, F27, 2, 0) (dual of [(265725, 2), 531450, 1]-NRT-code) (see above)
  3. linear OOA(270, 265725, F27, 2, 0) (dual of [(265725, 2), 531450, 1]-NRT-code) (see above)
  4. linear OOA(270, 265725, F27, 2, 0) (dual of [(265725, 2), 531450, 1]-NRT-code) (see above)
  5. linear OOA(270, 265725, F27, 2, 0) (dual of [(265725, 2), 531450, 1]-NRT-code) (see above)
  6. linear OOA(270, 265725, F27, 2, 0) (dual of [(265725, 2), 531450, 1]-NRT-code) (see above)
  7. linear OOA(270, 265725, F27, 2, 0) (dual of [(265725, 2), 531450, 1]-NRT-code) (see above)
  8. linear OOA(270, 265725, F27, 2, 0) (dual of [(265725, 2), 531450, 1]-NRT-code) (see above)
  9. linear OOA(270, 265725, F27, 2, 0) (dual of [(265725, 2), 531450, 1]-NRT-code) (see above)
  10. linear OOA(270, 265725, F27, 2, 0) (dual of [(265725, 2), 531450, 1]-NRT-code) (see above)
  11. linear OOA(270, 265725, F27, 2, 0) (dual of [(265725, 2), 531450, 1]-NRT-code) (see above)
  12. linear OOA(270, 265725, F27, 2, 0) (dual of [(265725, 2), 531450, 1]-NRT-code) (see above)
  13. linear OOA(270, 265725, F27, 2, 0) (dual of [(265725, 2), 531450, 1]-NRT-code) (see above)
  14. linear OOA(270, 265725, F27, 2, 0) (dual of [(265725, 2), 531450, 1]-NRT-code) (see above)
  15. linear OOA(270, 265725, F27, 2, 0) (dual of [(265725, 2), 531450, 1]-NRT-code) (see above)
  16. linear OOA(270, 265725, F27, 2, 0) (dual of [(265725, 2), 531450, 1]-NRT-code) (see above)
  17. linear OOA(270, 265725, F27, 2, 0) (dual of [(265725, 2), 531450, 1]-NRT-code) (see above)
  18. linear OOA(270, 265725, F27, 2, 0) (dual of [(265725, 2), 531450, 1]-NRT-code) (see above)
  19. linear OOA(270, 265725, F27, 2, 0) (dual of [(265725, 2), 531450, 1]-NRT-code) (see above)
  20. linear OOA(270, 265725, F27, 2, 0) (dual of [(265725, 2), 531450, 1]-NRT-code) (see above)
  21. linear OOA(270, 265725, F27, 2, 0) (dual of [(265725, 2), 531450, 1]-NRT-code) (see above)
  22. linear OOA(270, 265725, F27, 2, 0) (dual of [(265725, 2), 531450, 1]-NRT-code) (see above)
  23. linear OOA(270, 265725, F27, 2, 0) (dual of [(265725, 2), 531450, 1]-NRT-code) (see above)
  24. linear OOA(271, 265725, F27, 2, 1) (dual of [(265725, 2), 531449, 2]-NRT-code), using
  25. linear OOA(271, 265725, F27, 2, 1) (dual of [(265725, 2), 531449, 2]-NRT-code) (see above)
  26. linear OOA(275, 265725, F27, 2, 2) (dual of [(265725, 2), 531445, 3]-NRT-code), using
  27. linear OOA(2714, 265725, F27, 2, 4) (dual of [(265725, 2), 531436, 5]-NRT-code), using
    • OOA 2-folding [i] based on linear OA(2714, 531450, F27, 4) (dual of [531450, 531436, 5]-code), using
      • construction X applied to Ce(3) ⊂ Ce(1) [i] based on
        1. linear OA(2713, 531441, F27, 4) (dual of [531441, 531428, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
        2. linear OA(275, 531441, F27, 2) (dual of [531441, 531436, 3]-code), using an extension Ce(1) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,1], and designed minimum distance d ≥ |I|+1 = 2 [i]
        3. linear OA(271, 9, F27, 1) (dual of [9, 8, 2]-code), using

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

The following results depend on this result:

ResultThis
result
only		Method
1Linear OOA(2721, 7174574, F27, 6, 4) (dual of [(7174574, 6), 43047423, 5]-NRT-code) [i]OOA Stacking with Additional Row