Information on Result #678479
Linear OA(4110, 262199, F4, 15) (dual of [262199, 262089, 16]-code), using construction X applied to Ce(14) ⊂ Ce(8) based on
- linear OA(4100, 262144, F4, 15) (dual of [262144, 262044, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(455, 262144, F4, 9) (dual of [262144, 262089, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(410, 55, F4, 5) (dual of [55, 45, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(410, 63, F4, 5) (dual of [63, 53, 6]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [0,3], and designed minimum distance d ≥ |I|+1 = 6 [i]
- discarding factors / shortening the dual code based on linear OA(410, 63, F4, 5) (dual of [63, 53, 6]-code), 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:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(4110, 131099, F4, 2, 15) (dual of [(131099, 2), 262088, 16]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(4110, 87399, F4, 3, 15) (dual of [(87399, 3), 262087, 16]-NRT-code) | [i] | ||
| 3 | Linear OOA(4110, 37456, F4, 15, 15) (dual of [(37456, 15), 561730, 16]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |