Information on Result #1299472
Linear OA(3244, 278, F3, 123) (dual of [278, 34, 124]-code), using construction X with Varšamov bound based on
- linear OA(3218, 250, F3, 123) (dual of [250, 32, 124]-code), using
- construction X applied to Ce(124) ⊂ Ce(120) [i] based on
- linear OA(3217, 243, F3, 125) (dual of [243, 26, 126]-code), using an extension Ce(124) of the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,124], and designed minimum distance d ≥ |I|+1 = 125 [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(31, 7, F3, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(124) ⊂ Ce(120) [i] based on
- linear OA(3218, 252, F3, 104) (dual of [252, 34, 105]-code), using Gilbert–Varšamov bound and bm = 3218 > Vbs−1(k−1) = 49 458696 658922 493165 592785 493264 304385 611162 448403 956919 534946 115952 348170 956698 862337 119078 800875 541563 [i]
- linear OA(324, 26, F3, 18) (dual of [26, 2, 19]-code), using
- 2 times truncation [i] based on linear OA(326, 28, F3, 20) (dual of [28, 2, 21]-code), using
- repeating each code word 7 times [i] based on 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]
- repeating each code word 7 times [i] based on linear OA(32, 4, F3, 2) (dual of [4, 2, 3]-code or 4-arc in PG(1,3)), using
- 2 times truncation [i] based on linear OA(326, 28, F3, 20) (dual of [28, 2, 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
None.