Information on Result #1535173
Linear OOA(492, 131077, F4, 3, 14) (dual of [(131077, 3), 393139, 15]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(492, 131077, F4, 2, 14) (dual of [(131077, 2), 262062, 15]-NRT-code), using
- OOA 2-folding [i] based on linear OA(492, 262154, F4, 14) (dual of [262154, 262062, 15]-code), using
- 1 times code embedding in larger space [i] based on linear OA(491, 262153, F4, 14) (dual of [262153, 262062, 15]-code), using
- construction X applied to Ce(13) ⊂ Ce(12) [i] based on
- 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(482, 262144, F4, 13) (dual of [262144, 262062, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [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(13) ⊂ Ce(12) [i] based on
- 1 times code embedding in larger space [i] based on linear OA(491, 262153, F4, 14) (dual of [262153, 262062, 15]-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(493, 131077, F4, 3, 14) (dual of [(131077, 3), 393138, 15]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(492, 43692, F4, 21, 14) (dual of [(43692, 21), 917440, 15]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |