Information on Result #679208
Linear OA(488, 16429, F4, 15) (dual of [16429, 16341, 16]-code), using construction X applied to Ce(14) ⊂ Ce(8) based on
- linear OA(478, 16384, F4, 15) (dual of [16384, 16306, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(443, 16384, F4, 9) (dual of [16384, 16341, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(410, 45, F4, 5) (dual of [45, 35, 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(488, 8214, F4, 2, 15) (dual of [(8214, 2), 16340, 16]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(488, 5476, F4, 3, 15) (dual of [(5476, 3), 16340, 16]-NRT-code) | [i] | ||
| 3 | Linear OOA(488, 2346, F4, 15, 15) (dual of [(2346, 15), 35102, 16]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |