Information on Result #682073
Linear OA(450, 71, F4, 27) (dual of [71, 21, 28]-code), using construction XX applied to Ce(26) ⊂ Ce(25) ⊂ Ce(22) based on
- linear OA(447, 64, F4, 27) (dual of [64, 17, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(444, 64, F4, 26) (dual of [64, 20, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(441, 64, F4, 23) (dual of [64, 23, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(40, 4, F4, 0) (dual of [4, 4, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(40, s, F4, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- linear OA(42, 3, F4, 2) (dual of [3, 1, 3]-code or 3-arc in PG(1,4)), using
- dual of repetition code with length 3 [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.