Information on Result #1299171
Linear OA(3219, 254, F3, 107) (dual of [254, 35, 108]-code), using construction X with Varšamov bound based on
- linear OA(3197, 229, F3, 107) (dual of [229, 32, 108]-code), using
- 15 times truncation [i] based on linear OA(3212, 244, F3, 122) (dual of [244, 32, 123]-code), using
- construction X applied to Ce(121) ⊂ Ce(120) [i] based on
- linear OA(3212, 243, F3, 122) (dual of [243, 31, 123]-code), using an extension Ce(121) of the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,121], and designed minimum distance d ≥ |I|+1 = 122 [i]
- linear OA(3211, 243, F3, 121) (dual of [243, 32, 122]-code), using an extension Ce(120) of the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,120], and designed minimum distance d ≥ |I|+1 = 121 [i]
- linear OA(30, 1, F3, 0) (dual of [1, 1, 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(121) ⊂ Ce(120) [i] based on
- 15 times truncation [i] based on linear OA(3212, 244, F3, 122) (dual of [244, 32, 123]-code), using
- linear OA(3197, 232, F3, 92) (dual of [232, 35, 93]-code), using Gilbert–Varšamov bound and bm = 3197 > Vbs−1(k−1) = 3585 414589 380551 445131 302484 461331 360321 392420 061081 676590 902144 942186 670061 979709 455867 532555 [i]
- linear OA(319, 22, F3, 14) (dual of [22, 3, 15]-code), using
- code from dual 1-arc in PG(2,3) [i]
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 OA(3219, 254, F3, 106) (dual of [254, 35, 107]-code) | [i] | Strength Reduction | |