Information on Result #1486718
Linear OOA(774, 2473169, F7, 3, 11) (dual of [(2473169, 3), 7419433, 12]-NRT-code), using OOA 2-folding based on linear OOA(774, 4946338, F7, 2, 11) (dual of [(4946338, 2), 9892602, 12]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(774, 4946339, F7, 2, 11) (dual of [(4946339, 2), 9892604, 12]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(774, 4946339, F7, 11) (dual of [4946339, 4946265, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(774, 5764818, F7, 11) (dual of [5764818, 5764744, 12]-code), using
- construction X applied to Ce(10) ⊂ Ce(8) [i] based on
- linear OA(773, 5764801, F7, 11) (dual of [5764801, 5764728, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 78−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(757, 5764801, F7, 9) (dual of [5764801, 5764744, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 78−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(71, 17, F7, 1) (dual of [17, 16, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(71, s, F7, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(10) ⊂ Ce(8) [i] based on
- discarding factors / shortening the dual code based on linear OA(774, 5764818, F7, 11) (dual of [5764818, 5764744, 12]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(774, 4946339, F7, 11) (dual of [4946339, 4946265, 12]-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.