Information on Result #678504

Linear OA(4239, 262229, F4, 33) (dual of [262229, 261990, 34]-code), using construction X applied to Ce(32) ⊂ Ce(22) based on
  1. linear OA(4217, 262144, F4, 33) (dual of [262144, 261927, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
  2. linear OA(4154, 262144, F4, 23) (dual of [262144, 261990, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
  3. linear OA(422, 85, F4, 9) (dual of [85, 63, 10]-code), using
    • the BCH-code C(I) with length 85 | 44−1, defining interval I = {−20,−17,−14,…,4}, and designed minimum distance d ≥ |I|+1 = 10 [i]

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 OA(4239, 262229, F4, 32) (dual of [262229, 261990, 33]-code) [i]Strength Reduction
2Linear OA(4240, 262230, F4, 33) (dual of [262230, 261990, 34]-code) [i]Code Embedding in Larger Space
3Linear OA(4238, 262228, F4, 32) (dual of [262228, 261990, 33]-code) [i]Truncation
4Linear OOA(4239, 131114, F4, 2, 33) (dual of [(131114, 2), 261989, 34]-NRT-code) [i]OOA Folding
5Linear OOA(4239, 87409, F4, 3, 33) (dual of [(87409, 3), 261988, 34]-NRT-code) [i]
6Linear OOA(4239, 16389, F4, 33, 33) (dual of [(16389, 33), 540598, 34]-NRT-code) [i]OOA Folding and Stacking with Additional Row