Information on Result #1297231
Linear OA(2126, 157, F2, 46) (dual of [157, 31, 47]-code), using construction X with Varšamov bound based on
- linear OA(2111, 140, F2, 47) (dual of [140, 29, 48]-code), using
- construction X applied to Ce(46) ⊂ Ce(42) [i] based on
- linear OA(2106, 128, F2, 47) (dual of [128, 22, 48]-code), using an extension Ce(46) of the primitive narrow-sense BCH-code C(I) with length 127 = 27−1, defining interval I = [1,46], and designed minimum distance d ≥ |I|+1 = 47 [i]
- 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]
- linear OA(25, 12, F2, 3) (dual of [12, 7, 4]-code or 12-cap in PG(4,2)), using
- discarding factors / shortening the dual code based on linear OA(25, 16, F2, 3) (dual of [16, 11, 4]-code or 16-cap in PG(4,2)), using
- construction X applied to Ce(46) ⊂ Ce(42) [i] based on
- linear OA(2111, 142, F2, 36) (dual of [142, 31, 37]-code), using Gilbert–Varšamov bound and bm = 2111 > Vbs−1(k−1) = 2361 751948 887333 158226 060047 210616 [i]
- linear OA(213, 15, F2, 9) (dual of [15, 2, 10]-code), using
- repeating each code word 5 times [i] based on linear OA(21, 3, F2, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(21, s, F2, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- repeating each code word 5 times [i] based on linear OA(21, 3, F2, 1) (dual of [3, 2, 2]-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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
None.