Information on Result #846666
Linear OOA(8137, 282, F8, 2, 45) (dual of [(282, 2), 427, 46]-NRT-code), using OOA 2-folding based on linear OA(8137, 564, F8, 45) (dual of [564, 427, 46]-code), using
- 1 times code embedding in larger space [i] based on linear OA(8136, 563, F8, 45) (dual of [563, 427, 46]-code), using
- construction X applied to Ce(44) ⊂ Ce(32) [i] based on
- linear OA(8118, 512, F8, 45) (dual of [512, 394, 46]-code), using an extension Ce(44) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,44], and designed minimum distance d ≥ |I|+1 = 45 [i]
- linear OA(885, 512, F8, 33) (dual of [512, 427, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 511 = 83−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(818, 51, F8, 11) (dual of [51, 33, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(818, 63, F8, 11) (dual of [63, 45, 12]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [0,10], and designed minimum distance d ≥ |I|+1 = 12 [i]
- discarding factors / shortening the dual code based on linear OA(818, 63, F8, 11) (dual of [63, 45, 12]-code), using
- construction X applied to Ce(44) ⊂ Ce(32) [i] based on
Mode: Constructive and 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.