Information on Result #1535447
Linear OOA(4100, 131076, F4, 3, 15) (dual of [(131076, 3), 393128, 16]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(4100, 131076, F4, 2, 15) (dual of [(131076, 2), 262052, 16]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4100, 262152, F4, 15) (dual of [262152, 262052, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(4100, 262153, F4, 15) (dual of [262153, 262053, 16]-code), using
- construction X applied to Ce(14) ⊂ Ce(13) [i] 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(491, 262144, F4, 14) (dual of [262144, 262053, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(40, 9, F4, 0) (dual of [9, 9, 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
- construction X applied to Ce(14) ⊂ Ce(13) [i] based on
- discarding factors / shortening the dual code based on linear OA(4100, 262153, F4, 15) (dual of [262153, 262053, 16]-code), using
Mode: 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(4100, 43691, F4, 21, 15) (dual of [(43691, 21), 917411, 16]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |