Information on Result #1298428
Linear OA(3110, 243, F3, 36) (dual of [243, 133, 37]-code), using construction X with Varšamov bound based on
- linear OA(3109, 241, F3, 36) (dual of [241, 132, 37]-code), using
- 2 times truncation [i] based on linear OA(3111, 243, F3, 38) (dual of [243, 132, 39]-code), using
- an extension Ce(37) of the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38 [i]
- 2 times truncation [i] based on linear OA(3111, 243, F3, 38) (dual of [243, 132, 39]-code), using
- linear OA(3109, 242, F3, 35) (dual of [242, 133, 36]-code), using Gilbert–Varšamov bound and bm = 3109 > Vbs−1(k−1) = 5357 978573 394307 144252 346229 700275 787980 163390 572099 [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
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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
None.