Information on Result #1299325
Linear OA(3241, 279, F3, 116) (dual of [279, 38, 117]-code), using construction X with Varšamov bound based on
- linear OA(3206, 238, F3, 116) (dual of [238, 32, 117]-code), using
- 6 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
- 6 times truncation [i] based on linear OA(3212, 244, F3, 122) (dual of [244, 32, 123]-code), using
- linear OA(3206, 244, F3, 96) (dual of [244, 38, 97]-code), using Gilbert–Varšamov bound and bm = 3206 > Vbs−1(k−1) = 126 497482 933929 517534 377810 297700 813943 241533 552179 479511 021737 159545 209019 657335 582447 304873 293915 [i]
- linear OA(329, 35, F3, 19) (dual of [35, 6, 20]-code), using
- 1 times truncation [i] based on linear OA(330, 36, F3, 20) (dual of [36, 6, 21]-code), using
- concatenation of two codes [i] based on
- linear OA(96, 9, F9, 6) (dual of [9, 3, 7]-code or 9-arc in PG(5,9)), using
- Reed–Solomon code RS(3,9) [i]
- linear OA(32, 4, F3, 2) (dual of [4, 2, 3]-code or 4-arc in PG(1,3)), using
- extended Reed–Solomon code RSe(2,3) [i]
- Hamming code H(2,3) [i]
- Simplex code S(2,3) [i]
- the Tetracode [i]
- linear OA(96, 9, F9, 6) (dual of [9, 3, 7]-code or 9-arc in PG(5,9)), using
- concatenation of two codes [i] based on
- 1 times truncation [i] based on linear OA(330, 36, F3, 20) (dual of [36, 6, 21]-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 OA(3244, 284, F3, 116) (dual of [284, 40, 117]-code) | [i] | Construction X with Varšamov Bound | |