Information on Result #677523
Linear OA(3153, 169, F3, 84) (dual of [169, 16, 85]-code), using construction XX applied to Ce(87) ⊂ Ce(81) ⊂ Ce(79) based on
- linear OA(3150, 161, F3, 88) (dual of [161, 11, 89]-code), using an extension Ce(87) of the narrow-sense BCH-code C(I) with length 160 | 38−1, defining interval I = [1,87], and designed minimum distance d ≥ |I|+1 = 88 [i]
- linear OA(3146, 161, F3, 82) (dual of [161, 15, 83]-code), using an extension Ce(81) of the narrow-sense BCH-code C(I) with length 160 | 38−1, defining interval I = [1,81], and designed minimum distance d ≥ |I|+1 = 82 [i]
- linear OA(3145, 161, F3, 80) (dual of [161, 16, 81]-code), using an extension Ce(79) of the narrow-sense BCH-code C(I) with length 160 | 38−1, defining interval I = [1,79], and designed minimum distance d ≥ |I|+1 = 80 [i]
- linear OA(31, 6, F3, 1) (dual of [6, 5, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- linear OA(31, 2, F3, 1) (dual of [2, 1, 2]-code), using
- dual of repetition code with length 2 [i]
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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
None.