Information on Result #1299469
Linear OA(3248, 282, F3, 124) (dual of [282, 34, 125]-code), using construction X with Varšamov bound based on
- linear OA(3218, 249, F3, 124) (dual of [249, 31, 125]-code), using
- construction X applied to Ce(124) ⊂ Ce(121) [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(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(31, 6, F3, 1) (dual of [6, 5, 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(121) [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(327, 30, F3, 19) (dual of [30, 3, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(327, 31, F3, 19) (dual of [31, 4, 20]-code), using
- 1 times truncation [i] based on linear OA(328, 32, F3, 20) (dual of [32, 4, 21]-code), using
- a code of Belov type defined by PG(3,3) ∖ 2×PG(1,3) [i]
- 1 times truncation [i] based on linear OA(328, 32, F3, 20) (dual of [32, 4, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(327, 31, F3, 19) (dual of [31, 4, 20]-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.