Information on Result #1492576
Linear OOA(982, 28787, F9, 3, 18) (dual of [(28787, 3), 86279, 19]-NRT-code), using OOA 2-folding based on linear OOA(982, 57574, F9, 2, 18) (dual of [(57574, 2), 115066, 19]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(982, 57575, F9, 2, 18) (dual of [(57575, 2), 115068, 19]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(982, 57575, F9, 18) (dual of [57575, 57493, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(982, 59060, F9, 18) (dual of [59060, 58978, 19]-code), using
- construction X applied to Ce(18) ⊂ Ce(15) [i] based on
- linear OA(981, 59049, F9, 19) (dual of [59049, 58968, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(971, 59049, F9, 16) (dual of [59049, 58978, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(91, 11, F9, 1) (dual of [11, 10, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(91, s, F9, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(18) ⊂ Ce(15) [i] based on
- discarding factors / shortening the dual code based on linear OA(982, 59060, F9, 18) (dual of [59060, 58978, 19]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(982, 57575, F9, 18) (dual of [57575, 57493, 19]-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.