Information on Result #1489724
Linear OOA(8149, 1048602, F8, 3, 23) (dual of [(1048602, 3), 3145657, 24]-NRT-code), using OOA 2-folding based on linear OOA(8149, 2097204, F8, 2, 23) (dual of [(2097204, 2), 4194259, 24]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(8149, 2097204, F8, 23) (dual of [2097204, 2097055, 24]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(8148, 2097202, F8, 23) (dual of [2097202, 2097054, 24]-code), using
- construction X applied to C([0,11]) ⊂ C([0,8]) [i] based on
- linear OA(8141, 2097153, F8, 23) (dual of [2097153, 2097012, 24]-code), using the expurgated narrow-sense BCH-code C(I) with length 2097153 | 814−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (BCH-bound) [i]
- linear OA(899, 2097153, F8, 17) (dual of [2097153, 2097054, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 2097153 | 814−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- linear OA(87, 49, F8, 5) (dual of [49, 42, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(87, 57, F8, 5) (dual of [57, 50, 6]-code), using
- construction X applied to C([0,11]) ⊂ C([0,8]) [i] based on
- linear OA(8148, 2097203, F8, 22) (dual of [2097203, 2097055, 23]-code), using Gilbert–Varšamov bound and bm = 8148 > Vbs−1(k−1) = 62103 716376 818331 150349 063791 621286 861390 749809 437379 591674 517671 271961 174848 873441 589539 183513 055288 764565 978003 851817 319815 282424 [i]
- linear OA(80, 1, F8, 0) (dual of [1, 1, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(80, s, F8, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- linear OA(8148, 2097202, F8, 23) (dual of [2097202, 2097054, 24]-code), using
- construction X with Varšamov bound [i] based on
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.