Information on Result #1297215
Linear OA(2106, 136, F2, 40) (dual of [136, 30, 41]-code), using construction X with Varšamov bound based on
- linear OA(296, 125, F2, 40) (dual of [125, 29, 41]-code), using
- 3 times truncation [i] based on linear OA(299, 128, F2, 43) (dual of [128, 29, 44]-code), using
- an extension Ce(42) of the primitive narrow-sense BCH-code C(I) with length 127 = 27−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43 [i]
- 3 times truncation [i] based on linear OA(299, 128, F2, 43) (dual of [128, 29, 44]-code), using
- linear OA(296, 126, F2, 30) (dual of [126, 30, 31]-code), using Gilbert–Varšamov bound and bm = 296 > Vbs−1(k−1) = 30397 347426 174604 875799 384656 [i]
- linear OA(29, 10, F2, 9) (dual of [10, 1, 10]-code or 10-arc in PG(8,2)), using
- dual of repetition code with length 10 [i]
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.