Information on Result #1299332
Linear OA(3238, 274, F3, 117) (dual of [274, 36, 118]-code), using construction X with Varšamov bound based on
- linear OA(3207, 239, F3, 117) (dual of [239, 32, 118]-code), using
- 5 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
- 5 times truncation [i] based on linear OA(3212, 244, F3, 122) (dual of [244, 32, 123]-code), using
- linear OA(3207, 243, F3, 97) (dual of [243, 36, 98]-code), using Gilbert–Varšamov bound and bm = 3207 > Vbs−1(k−1) = 238 596322 483557 491622 029544 762473 594060 250823 198871 590902 871169 210589 182607 554343 482034 639207 207625 [i]
- 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
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.