Information on Result #1303603

Linear OA(9149, 4783013, F9, 23) (dual of [4783013, 4782864, 24]-code), using construction X with VarÅ¡amov bound based on
  1. linear OA(9148, 4783011, F9, 23) (dual of [4783011, 4782863, 24]-code), using
    • construction X applied to Ce(22) ⊂ Ce(16) [i] based on
      1. linear OA(9141, 4782969, F9, 23) (dual of [4782969, 4782828, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
      2. linear OA(9106, 4782969, F9, 17) (dual of [4782969, 4782863, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
      3. linear OA(97, 42, F9, 5) (dual of [42, 35, 6]-code), using
  2. linear OA(9148, 4783012, F9, 22) (dual of [4783012, 4782864, 23]-code), using Gilbert–VarÅ¡amov bound and bm = 9148 > Vbs−1(k−1) = 33 904391 842963 516178 648037 196456 672429 215840 024387 254303 384994 167250 751203 983361 554694 686679 506729 708090 363049 291518 988258 360051 413542 683609 [i]
  3. linear OA(90, 1, F9, 0) (dual of [1, 1, 1]-code), using

Mode: 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(9149, 4783013, F9, 2, 23) (dual of [(4783013, 2), 9565877, 24]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(9149, 4783013, F9, 3, 23) (dual of [(4783013, 3), 14348890, 24]-NRT-code) [i]
3Digital (126, 149, 4783013)-net over F9 [i]