Information on Result #679059
Linear OA(429, 16391, F4, 6) (dual of [16391, 16362, 7]-code), using construction X applied to Ce(5) ⊂ Ce(4) based on
- linear OA(429, 16384, F4, 6) (dual of [16384, 16355, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(422, 16384, F4, 5) (dual of [16384, 16362, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(40, 7, F4, 0) (dual of [7, 7, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(40, s, F4, 0) (dual of [s, s, 1]-code) for arbitrarily large s, 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 OA(431, 16395, F4, 6) (dual of [16395, 16364, 7]-code) | [i] | Construction X with Varšamov Bound | |
| 2 | Linear OOA(429, 8195, F4, 2, 6) (dual of [(8195, 2), 16361, 7]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(429, 5463, F4, 3, 6) (dual of [(5463, 3), 16360, 7]-NRT-code) | [i] | ||
| 4 | Linear OOA(429, 5463, F4, 6, 6) (dual of [(5463, 6), 32749, 7]-NRT-code) | [i] | OA Folding and Stacking | |