Information on Result #1017310

Linear OOA(4953, 1921655, F49, 3, 12) (dual of [(1921655, 3), 5764912, 13]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(496, 50, F49, 3, 6) (dual of [(50, 3), 144, 7]-NRT-code), using
  2. linear OOA(4947, 1921605, F49, 3, 12) (dual of [(1921605, 3), 5764768, 13]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(4947, 5764815, F49, 12) (dual of [5764815, 5764768, 13]-code), using
      • construction X applied to Ce(11) ⊂ Ce(8) [i] based on
        1. linear OA(4945, 5764801, F49, 12) (dual of [5764801, 5764756, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 494−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
        2. linear OA(4933, 5764801, F49, 9) (dual of [5764801, 5764768, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 494−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
        3. linear OA(492, 14, F49, 2) (dual of [14, 12, 3]-code or 14-arc in PG(1,49)), using

Mode: Constructive and linear.

Optimality

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

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OOA(4953, 960827, F49, 15, 12) (dual of [(960827, 15), 14412352, 13]-NRT-code) [i]OOA Folding and Stacking with Additional Row