Information on Result #1117119
Linear OOA(3134, 3355440, F3, 5, 10) (dual of [(3355440, 5), 16777066, 11]-NRT-code), using (u, u+v)-construction based on
- linear OOA(343, 2391491, F3, 5, 5) (dual of [(2391491, 5), 11957412, 6]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OA(343, 4782983, F3, 5) (dual of [4782983, 4782940, 6]-code), using
- construction X applied to Ce(4) ⊂ Ce(3) [i] based on
- linear OA(343, 4782969, F3, 5) (dual of [4782969, 4782926, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 314−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(329, 4782969, F3, 4) (dual of [4782969, 4782940, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 314−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(30, 14, F3, 0) (dual of [14, 14, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(30, s, F3, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(4) ⊂ Ce(3) [i] based on
- OOA 2-folding and stacking with additional row [i] based on linear OA(343, 4782983, F3, 5) (dual of [4782983, 4782940, 6]-code), using
- linear OOA(391, 1677720, F3, 5, 10) (dual of [(1677720, 5), 8388509, 11]-NRT-code), using
- OOA 5-folding [i] based on linear OA(391, 8388600, F3, 10) (dual of [8388600, 8388509, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(391, large, F3, 10) (dual of [large, large−91, 11]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [0,9], and designed minimum distance d ≥ |I|+1 = 11 [i]
- discarding factors / shortening the dual code based on linear OA(391, large, F3, 10) (dual of [large, large−91, 11]-code), using
- OOA 5-folding [i] based on linear OA(391, 8388600, F3, 10) (dual of [8388600, 8388509, 11]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m 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(3177, 5746931, F3, 5, 10) (dual of [(5746931, 5), 28734478, 11]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(3178, 5746932, F3, 5, 10) (dual of [(5746932, 5), 28734482, 11]-NRT-code) | [i] | ||
| 3 | Linear OOA(3179, 5746935, F3, 5, 10) (dual of [(5746935, 5), 28734496, 11]-NRT-code) | [i] | ||
| 4 | Linear OOA(3180, 6710880, F3, 5, 10) (dual of [(6710880, 5), 33554220, 11]-NRT-code) | [i] | ||
| 5 | Linear OOA(3183, 6710884, F3, 5, 10) (dual of [(6710884, 5), 33554237, 11]-NRT-code) | [i] | Generalized (u, u+v)-Construction for OOAs | |
| 6 | Linear OOA(3184, 6710890, F3, 5, 10) (dual of [(6710890, 5), 33554266, 11]-NRT-code) | [i] | ||
| 7 | Linear OOA(3185, 6710900, F3, 5, 10) (dual of [(6710900, 5), 33554315, 11]-NRT-code) | [i] | ||
| 8 | Linear OOA(3186, 6710936, F3, 5, 10) (dual of [(6710936, 5), 33554494, 11]-NRT-code) | [i] | ||
| 9 | Linear OOA(3187, 6710992, F3, 5, 10) (dual of [(6710992, 5), 33554773, 11]-NRT-code) | [i] | ||
| 10 | Linear OOA(3188, 6711128, F3, 5, 10) (dual of [(6711128, 5), 33555452, 11]-NRT-code) | [i] | ||
| 11 | Linear OOA(3189, 6711412, F3, 5, 10) (dual of [(6711412, 5), 33556871, 11]-NRT-code) | [i] | ||
| 12 | Linear OOA(3190, 6712096, F3, 5, 10) (dual of [(6712096, 5), 33560290, 11]-NRT-code) | [i] | ||
| 13 | Linear OOA(3191, 6713624, F3, 5, 10) (dual of [(6713624, 5), 33567929, 11]-NRT-code) | [i] | ||
| 14 | Linear OOA(3192, 6717344, F3, 5, 10) (dual of [(6717344, 5), 33586528, 11]-NRT-code) | [i] | ||
| 15 | Linear OOA(3134, 3355439, F3, 15, 10) (dual of [(3355439, 15), 50331451, 11]-NRT-code) | [i] | OOA Stacking with Additional Row | |