Information on Result #1299220
Linear OA(3222, 257, F3, 109) (dual of [257, 35, 110]-code), using construction X with Varšamov bound based on
- linear OA(3200, 232, F3, 110) (dual of [232, 32, 111]-code), using
- 12 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
- 12 times truncation [i] based on linear OA(3212, 244, F3, 122) (dual of [244, 32, 123]-code), using
- linear OA(3200, 235, F3, 94) (dual of [235, 35, 95]-code), using Gilbert–Varšamov bound and bm = 3200 > Vbs−1(k−1) = 151422 832078 524978 165696 046701 830577 905091 577490 174483 894964 610914 367927 950829 838313 069851 572265 [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(3222, 257, F3, 108) (dual of [257, 35, 109]-code) | [i] | Strength Reduction | |