Information on Result #678742
Linear OA(496, 65575, F4, 15) (dual of [65575, 65479, 16]-code), using construction X applied to Ce(14) ⊂ Ce(9) based on
- linear OA(489, 65536, F4, 15) (dual of [65536, 65447, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(457, 65536, F4, 10) (dual of [65536, 65479, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(47, 39, F4, 4) (dual of [39, 32, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(47, 43, F4, 4) (dual of [43, 36, 5]-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 OA(497, 65576, F4, 15) (dual of [65576, 65479, 16]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(498, 65577, F4, 15) (dual of [65577, 65479, 16]-code) | [i] | ||
| 3 | Linear OA(498, 65578, F4, 15) (dual of [65578, 65480, 16]-code) | [i] | Construction X with Varšamov Bound | |
| 4 | Linear OOA(496, 32787, F4, 2, 15) (dual of [(32787, 2), 65478, 16]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(496, 21858, F4, 3, 15) (dual of [(21858, 3), 65478, 16]-NRT-code) | [i] | ||
| 6 | Linear OOA(496, 9367, F4, 15, 15) (dual of [(9367, 15), 140409, 16]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |